45151140064656 has 160 divisors (see below), whose sum is σ = 124727235160320. Its totient is φ = 14024552988672.

The previous prime is 45151140064651. The next prime is 45151140064669. The reversal of 45151140064656 is 65646004115154.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (45151140064651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412536916 + ... + 412646348.

It is an arithmetic number, because the mean of its divisors is an integer number (779545219752).

Almost surely, 2^{45151140064656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45151140064656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62363617580160).

45151140064656 is an abundant number, since it is smaller than the sum of its proper divisors (79576095095664).

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

45151140064656 is a wasteful number, since it uses less digits than its factorization.

45151140064656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114473 (or 114467 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 45151140064656 in words is "forty-five trillion, one hundred fifty-one billion, one hundred forty million, sixty-four thousand, six hundred fifty-six".