45100007715664 has 160 divisors (see below), whose sum is σ = 97422358141440. Its totient is φ = 20053886361600.

The previous prime is 45100007715589. The next prime is 45100007715713. The reversal of 45100007715664 is 46651770000154.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7888751334 + ... + 7888757050.

It is an arithmetic number, because the mean of its divisors is an integer number (608889738384).

Almost surely, 2^{45100007715664} is an apocalyptic number.

45100007715664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45100007715664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48711179070720).

45100007715664 is an abundant number, since it is smaller than the sum of its proper divisors (52322350425776).

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

45100007715664 is a wasteful number, since it uses less digits than its factorization.

45100007715664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10949 (or 10943 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 45100007715664 in words is "forty-five trillion, one hundred billion, seven million, seven hundred fifteen thousand, six hundred sixty-four".