45754655645754 has 144 divisors (see below), whose sum is σ = 112021943267520. Its totient is φ = 13384958486400.

The previous prime is 45754655645731. The next prime is 45754655645761.

45754655645754 is a `hidden beast` number, since 4 + 5 + 7 + 5 + 4 + 6 + 5 + 564 + 5 + 7 + 54 = 666.

45754655645754 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77529739 + ... + 78117665.

It is an arithmetic number, because the mean of its divisors is an integer number (777930161580).

Almost surely, 2^{45754655645754} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45754655645754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56010971633760).

45754655645754 is an abundant number, since it is smaller than the sum of its proper divisors (66267287621766).

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

45754655645754 is a wasteful number, since it uses less digits than its factorization.

45754655645754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588417 (or 588383 counting only the distinct ones).

The product of its digits is 7056000000, while the sum is 72.

The spelling of 45754655645754 in words is "forty-five trillion, seven hundred fifty-four billion, six hundred fifty-five million, six hundred forty-five thousand, seven hundred fifty-four".