8951475456 has 576 divisors, whose sum is σ = 33515059200. Its totient is φ = 2308331520.

The previous prime is 8951475451. The next prime is 8951475539. The reversal of 8951475456 is 6545741598.

It is a happy number.

8951475456 is a `hidden beast` number, since 8 + 9 + 51 + 47 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8951475451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64399035 + ... + 64399173.

Almost surely, 2^8951475456 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 8951475456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16757529600).

8951475456 is an abundant number, since it is smaller than the sum of its proper divisors (24563583744).

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

8951475456 is a wasteful number, since it uses less digits than its factorization.

8951475456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 162 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The square root of 8951475456 is about 94612.2373480302. The cubic root of 8951475456 is about 2076.3387465538.

The spelling of 8951475456 in words is "eight billion, nine hundred fifty-one million, four hundred seventy-five thousand, four hundred fifty-six".