45746400464754 has 128 divisors (see below), whose sum is σ = 102724205875200. Its totient is φ = 13461111360000.

The previous prime is 45746400464753. The next prime is 45746400464801.

45746400464754 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (45746400464753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 748695297 + ... + 748756395.

It is an arithmetic number, because the mean of its divisors is an integer number (802532858400).

Almost surely, 2^{45746400464754} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45746400464754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51362102937600).

45746400464754 is an abundant number, since it is smaller than the sum of its proper divisors (56977805410446).

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

45746400464754 is a wasteful number, since it uses less digits than its factorization.

45746400464754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62448.

The product of its (nonzero) digits is 180633600, while the sum is 60.

The spelling of 45746400464754 in words is "forty-five trillion, seven hundred forty-six billion, four hundred million, four hundred sixty-four thousand, seven hundred fifty-four".