9054956160 has 768 divisors, whose sum is σ = 36202982400. Its totient is φ = 2070282240.

The previous prime is 9054956123. The next prime is 9054956167. The reversal of 9054956160 is 616594509.

It is a happy number.

9054956160 is a `hidden beast` number, since 90 + 549 + 5 + 6 + 16 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9054956167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57674802 + ... + 57674958.

It is an arithmetic number, because the mean of its divisors is an integer number (47139300).

Almost surely, 2^9054956160 is an apocalyptic number.

9054956160 is a gapful number since it is divisible by the number (90) 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 9054956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18101491200).

9054956160 is an abundant number, since it is smaller than the sum of its proper divisors (27148026240).

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

9054956160 is a wasteful number, since it uses less digits than its factorization.

9054956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 9054956160 is about 95157.5333854341. The cubic root of 9054956160 is about 2084.3090649205.

The spelling of 9054956160 in words is "nine billion, fifty-four million, nine hundred fifty-six thousand, one hundred sixty".