45932140800 has 1728 divisors, whose sum is σ = 218012712960. Its totient is φ = 9196830720.

The previous prime is 45932140763. The next prime is 45932140801. The reversal of 45932140800 is 804123954.

45932140800 is a `hidden beast` number, since 4 + 593 + 21 + 40 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45932140801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 361670337 + ... + 361670463.

Almost surely, 2^45932140800 is an apocalyptic number.

45932140800 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 45932140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109006356480).

45932140800 is an abundant number, since it is smaller than the sum of its proper divisors (172080572160).

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

45932140800 is a wasteful number, since it uses less digits than its factorization.

45932140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 45932140800 in words is "forty-five billion, nine hundred thirty-two million, one hundred forty thousand, eight hundred".