45511743967056 has 40 divisors (see below), whose sum is σ = 130635561388160. Its totient is φ = 15170581322208.

The previous prime is 45511743967033. The next prime is 45511743967057. The reversal of 45511743967056 is 65076934711554.

45511743967056 is a `hidden beast` number, since 4 + 5 + 5 + 1 + 174 + 396 + 70 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45511743966984 and 45511743967002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45511743967057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52675629160 + ... + 52675630023.

It is an arithmetic number, because the mean of its divisors is an integer number (3265889034704).

Almost surely, 2^{45511743967056} is an apocalyptic number.

It is an amenable number.

45511743967056 is an abundant number, since it is smaller than the sum of its proper divisors (85123817421104).

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

45511743967056 is a wasteful number, since it uses less digits than its factorization.

45511743967056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105351259200 (or 105351259188 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 45511743967056 in words is "forty-five trillion, five hundred eleven billion, seven hundred forty-three million, nine hundred sixty-seven thousand, fifty-six".