45764511546754 has 128 divisors (see below), whose sum is σ = 96386933809152. Its totient is φ = 15708710730240.

The previous prime is 45764511546739. The next prime is 45764511546821.

45764511546754 is nontrivially palindromic in base 10.

45764511546754 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 2×45764511546754² (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 63 ways as a sum of consecutive naturals, for example, 19955619 + ... + 22130425.

It is an arithmetic number, because the mean of its divisors is an integer number (753022920384).

Almost surely, 2^{45764511546754} is an apocalyptic number.

45764511546754 is an abundant number, since it is smaller than the sum of its proper divisors (50622422262398).

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

45764511546754 is a wasteful number, since it uses less digits than its factorization.

45764511546754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175320.

The product of its digits is 282240000, while the sum is 64.

The spelling of 45764511546754 in words is "forty-five trillion, seven hundred sixty-four billion, five hundred eleven million, five hundred forty-six thousand, seven hundred fifty-four".