45386956800 has 756 divisors, whose sum is σ = 177643825380. Its totient is φ = 11466178560.

The previous prime is 45386956799. The next prime is 45386956841. The reversal of 45386956800 is 865968354.

It is a happy number.

45386956800 is a `hidden beast` number, since 45 + 38 + 6 + 9 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2388787191 + ... + 2388787209.

It is an arithmetic number, because the mean of its divisors is an integer number (234978605).

Almost surely, 2^45386956800 is an apocalyptic number.

45386956800 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 45386956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88821912690).

45386956800 is an abundant number, since it is smaller than the sum of its proper divisors (132256868580).

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

45386956800 is an frugal number, since it uses more digits than its factorization.

45386956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 45386956800 in words is "forty-five billion, three hundred eighty-six million, nine hundred fifty-six thousand, eight hundred".