8145423504 has 225 divisors, whose sum is σ = 24872967273. Its totient is φ = 2573265024.

The previous prime is 8145423499. The next prime is 8145423509. The reversal of 8145423504 is 4053245418.

It is a happy number.

The square root of 8145423504 is 90252.

It is a perfect power (a square), and thus also a powerful number.

8145423504 is a `hidden beast` number, since 8 + 145 + 4 + 2 + 3 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (8145423499) and next prime (8145423509).

It can be written as a sum of positive squares in only one way, i.e., 5677321104 + 2468102400 = 75348^2 + 49680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8145423509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 74728602 + ... + 74728710.

Almost surely, 2^8145423504 is an apocalyptic number.

8145423504 is the 90252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8145423504

8145423504 is an abundant number, since it is smaller than the sum of its proper divisors (16727543769).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8145423504 is a wasteful number, since it uses less digits than its factorization.

8145423504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The cubic root of 8145423504 is about 2012.0459274891.

Multiplying 8145423504 by its sum of digits (36), we get a square (293235246144 = 541512²).

8145423504 divided by its sum of digits (36) gives a square (226261764 = 15042²).

It can be divided in two parts, 8145 and 423504, that added together give a square (431649 = 657²).

The spelling of 8145423504 in words is "eight billion, one hundred forty-five million, four hundred twenty-three thousand, five hundred four".