8914268160 has 832 divisors, whose sum is σ = 37744128000. Its totient is φ = 1994194944.

The previous prime is 8914268159. The next prime is 8914268191. The reversal of 8914268160 is 618624198.

8914268160 is a `hidden beast` number, since 8 + 91 + 426 + 81 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189665257 + ... + 189665303.

Almost surely, 2^8914268160 is an apocalyptic number.

8914268160 is a gapful number since it is divisible by the number (80) 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 8914268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18872064000).

8914268160 is an abundant number, since it is smaller than the sum of its proper divisors (28829859840).

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

8914268160 is an equidigital number, since it uses as much as digits as its factorization.

8914268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8914268160 is about 94415.4021333384. The cubic root of 8914268160 is about 2073.4579463730.

The spelling of 8914268160 in words is "eight billion, nine hundred fourteen million, two hundred sixty-eight thousand, one hundred sixty".