4101525164664 has 80 divisors (see below), whose sum is σ = 11512052481600. Its totient is φ = 1364320723968.

The previous prime is 4101525164663. The next prime is 4101525164713. The reversal of 4101525164664 is 4664615251014.

4101525164664 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 525 + 1 + 64 + 6 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101525164663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6296617 + ... + 6917400.

It is an arithmetic number, because the mean of its divisors is an integer number (143900656020).

Almost surely, 2^{4101525164664} is an apocalyptic number.

It is an amenable number.

4101525164664 is an abundant number, since it is smaller than the sum of its proper divisors (7410527316936).

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

4101525164664 is a wasteful number, since it uses less digits than its factorization.

4101525164664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13214514 (or 13214501 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 4101525164664 in words is "four trillion, one hundred one billion, five hundred twenty-five million, one hundred sixty-four thousand, six hundred sixty-four".