8415936144 has 240 divisors, whose sum is σ = 29920834944. Its totient is φ = 2144563200.

The previous prime is 8415936127. The next prime is 8415936161. The reversal of 8415936144 is 4416395148.

8415936144 is a `hidden beast` number, since 8 + 41 + 593 + 6 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (8415936127) and next prime (8415936161).

It is a self number, because there is not a number n which added to its sum of digits gives 8415936144.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580504 + ... + 594824.

Almost surely, 2^8415936144 is an apocalyptic number.

8415936144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8415936144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14960417472).

8415936144 is an abundant number, since it is smaller than the sum of its proper divisors (21504898800).

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

8415936144 is a wasteful number, since it uses less digits than its factorization.

8415936144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14406 (or 14397 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 8415936144 is about 91738.4114970387. The cubic root of 8415936144 is about 2034.0774125536.

The spelling of 8415936144 in words is "eight billion, four hundred fifteen million, nine hundred thirty-six thousand, one hundred forty-four".