45964266246954 has 192 divisors, whose sum is σ = 109333911922560. Its totient is φ = 13840358400000.

The previous prime is 45964266246931. The next prime is 45964266247037.

45964266246954 is a `hidden beast` number, since 4 + 5 + 96 + 4 + 26 + 6 + 2 + 469 + 54 = 666.

45964266246954 is nontrivially palindromic in base 10.

45964266246954 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 2×45964266246954² (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 95 ways as a sum of consecutive naturals, for example, 38271661554 + ... + 38271662754.

It is an arithmetic number, because the mean of its divisors is an integer number (569447457930).

Almost surely, 2^{45964266246954} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45964266246954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54666955961280).

45964266246954 is an abundant number, since it is smaller than the sum of its proper divisors (63369645675606).

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

45964266246954 is a wasteful number, since it uses less digits than its factorization.

45964266246954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3074 counting only the distinct ones).

The product of its digits is 2687385600, while the sum is 72.

The spelling of 45964266246954 in words is "forty-five trillion, nine hundred sixty-four billion, two hundred sixty-six million, two hundred forty-six thousand, nine hundred fifty-four".