45914596000 has 576 divisors, whose sum is σ = 144572553216. Its totient is φ = 14017536000.

The previous prime is 45914595989. The next prime is 45914596033. The reversal of 45914596000 is 69541954.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146691844 + ... + 146692156.

It is an arithmetic number, because the mean of its divisors is an integer number (250994016).

Almost surely, 2^45914596000 is an apocalyptic number.

45914596000 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 45914596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72286276608).

45914596000 is an abundant number, since it is smaller than the sum of its proper divisors (98657957216).

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

45914596000 is a wasteful number, since it uses less digits than its factorization.

45914596000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 45914596000 in words is "forty-five billion, nine hundred fourteen million, five hundred ninety-six thousand".