45416045134392 has 256 divisors, whose sum is σ = 124482657600000. Its totient is φ = 13757788569600.

The previous prime is 45416045134381. The next prime is 45416045134451. The reversal of 45416045134392 is 29343154061454.

45416045134392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 4325744359 + ... + 4325754857.

It is an arithmetic number, because the mean of its divisors is an integer number (486260381250).

Almost surely, 2^{45416045134392} 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 45416045134392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62241328800000).

45416045134392 is an abundant number, since it is smaller than the sum of its proper divisors (79066612465608).

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

45416045134392 is a wasteful number, since it uses less digits than its factorization.

45416045134392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14422 (or 14418 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 45416045134392 in words is "forty-five trillion, four hundred sixteen billion, forty-five million, one hundred thirty-four thousand, three hundred ninety-two".