45955907712 has 768 divisors, whose sum is σ = 167725209600. Its totient is φ = 12256358400.

The previous prime is 45955907681. The next prime is 45955907731. The reversal of 45955907712 is 21770955954.

It is a happy number.

45955907712 is a `hidden beast` number, since 4 + 5 + 9 + 559 + 0 + 77 + 12 = 666.

It is a super-2 number, since 2×45955907712² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 147768037 + ... + 147768347.

It is an arithmetic number, because the mean of its divisors is an integer number (218392200).

Almost surely, 2^45955907712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45955907712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83862604800).

45955907712 is an abundant number, since it is smaller than the sum of its proper divisors (121769301888).

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

45955907712 is a wasteful number, since it uses less digits than its factorization.

45955907712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 45955907712 in words is "forty-five billion, nine hundred fifty-five million, nine hundred seven thousand, seven hundred twelve".