845723015424 has 1215 divisors, whose sum is σ = 3158936297153. Its totient is φ = 217533431808.

The previous prime is 845723015413. The next prime is 845723015437. The reversal of 845723015424 is 424510327548.

The square root of 845723015424 is 919632.

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

845723015424 is a `hidden beast` number, since 8 + 4 + 5 + 72 + 30 + 1 + 542 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 658434873600 + 187288141824 = 811440^2 + 432768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 845723015424.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 36770565877 + ... + 36770565899.

Almost surely, 2^845723015424 is an apocalyptic number.

845723015424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

845723015424 is the 919632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845723015424

845723015424 is an abundant number, since it is smaller than the sum of its proper divisors (2313213281729).

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

845723015424 is an equidigital number, since it uses as much as digits as its factorization.

845723015424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 845723015424 in words is "eight hundred forty-five billion, seven hundred twenty-three million, fifteen thousand, four hundred twenty-four".