45674256725664 has 192 divisors, whose sum is σ = 137888873337600. Its totient is φ = 12967465771008.

The previous prime is 45674256725639. The next prime is 45674256725693. The reversal of 45674256725664 is 46652765247654.

45674256725664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45674256725664² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106885422 + ... + 107311890.

It is an arithmetic number, because the mean of its divisors is an integer number (718171215300).

Almost surely, 2^{45674256725664} 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 45674256725664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68944436668800).

45674256725664 is an abundant number, since it is smaller than the sum of its proper divisors (92214616611936).

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

45674256725664 is a wasteful number, since it uses less digits than its factorization.

45674256725664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427495 (or 427487 counting only the distinct ones).

The product of its digits is 2032128000, while the sum is 69.

The spelling of 45674256725664 in words is "forty-five trillion, six hundred seventy-four billion, two hundred fifty-six million, seven hundred twenty-five thousand, six hundred sixty-four".