8901412416 has 252 divisors, whose sum is σ = 28414826076. Its totient is φ = 2648401920.

The previous prime is 8901412397. The next prime is 8901412417. The reversal of 8901412416 is 6142141098.

It can be written as a sum of positive squares in 2 ways, for example, as 3905750016 + 4995662400 = 62496^2 + 70680^2 .

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 (8901412417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7195350 + ... + 7196586.

Almost surely, 2^8901412416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8901412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14207413038).

8901412416 is an abundant number, since it is smaller than the sum of its proper divisors (19513413660).

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

8901412416 is a wasteful number, since it uses less digits than its factorization.

8901412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8901412416 is about 94347.2968134223. The cubic root of 8901412416 is about 2072.4607185471.

The spelling of 8901412416 in words is "eight billion, nine hundred one million, four hundred twelve thousand, four hundred sixteen".