45859968000 has 1584 divisors, whose sum is σ = 212016010752. Its totient is φ = 9326592000.

The previous prime is 45859967983. The next prime is 45859968059. The reversal of 45859968000 is 86995854.

It is a happy number.

45859968000 is a `hidden beast` number, since 45 + 8 + 599 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×45859968000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 975743977 + ... + 975744023.

Almost surely, 2^45859968000 is an apocalyptic number.

45859968000 is a gapful number since it is divisible by the number (40) 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 45859968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106008005376).

45859968000 is an abundant number, since it is smaller than the sum of its proper divisors (166156042752).

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

45859968000 is a wasteful number, since it uses less digits than its factorization.

45859968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 45859968000 in words is "forty-five billion, eight hundred fifty-nine million, nine hundred sixty-eight thousand".