45879128064 has 468 divisors, whose sum is σ = 168247399320. Its totient is φ = 11911495680.

The previous prime is 45879128059. The next prime is 45879128101. The reversal of 45879128064 is 46082197854.

It is a happy number.

45879128064 is a `hidden beast` number, since 458 + 7 + 9 + 128 + 0 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45879128064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19868542 + ... + 19870850.

It is an arithmetic number, because the mean of its divisors is an integer number (359502990).

Almost surely, 2^45879128064 is an apocalyptic number.

45879128064 is a gapful number since it is divisible by the number (44) 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 45879128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84123699660).

45879128064 is an abundant number, since it is smaller than the sum of its proper divisors (122368271256).

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

45879128064 is a wasteful number, since it uses less digits than its factorization.

45879128064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 45879128064 in words is "forty-five billion, eight hundred seventy-nine million, one hundred twenty-eight thousand, sixty-four".