45678233904464 has 160 divisors (see below), whose sum is σ = 103593039264000. Its totient is φ = 19108485107712.

The previous prime is 45678233904439. The next prime is 45678233904487. The reversal of 45678233904464 is 46440933287654.

45678233904464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45678233904464.

It is a congruent number.

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, 765497222 + ... + 765556890.

It is an arithmetic number, because the mean of its divisors is an integer number (647456495400).

Almost surely, 2^{45678233904464} 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 45678233904464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51796519632000).

45678233904464 is an abundant number, since it is smaller than the sum of its proper divisors (57914805359536).

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

45678233904464 is a wasteful number, since it uses less digits than its factorization.

45678233904464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60725 (or 60719 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 65.

The spelling of 45678233904464 in words is "forty-five trillion, six hundred seventy-eight billion, two hundred thirty-three million, nine hundred four thousand, four hundred sixty-four".