45896086368 has 288 divisors, whose sum is σ = 150382552320. Its totient is φ = 13141201920.

The previous prime is 45896086333. The next prime is 45896086373. The reversal of 45896086368 is 86368069854.

45896086368 is a `hidden beast` number, since 458 + 9 + 60 + 8 + 63 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 6043918 + ... + 6051506.

It is an arithmetic number, because the mean of its divisors is an integer number (522161640).

Almost surely, 2^45896086368 is an apocalyptic number.

45896086368 is a gapful number since it is divisible by the number (48) 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 45896086368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75191276160).

45896086368 is an abundant number, since it is smaller than the sum of its proper divisors (104486465952).

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

45896086368 is a wasteful number, since it uses less digits than its factorization.

45896086368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7722 (or 7711 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 45896086368 in words is "forty-five billion, eight hundred ninety-six million, eighty-six thousand, three hundred sixty-eight".