264334625120401 has 24 divisors (see below), whose sum is σ = 290624004556200. Its totient is φ = 240242700614400.

The previous prime is 264334625120399. The next prime is 264334625120407. The reversal of 264334625120401 is 104021526433462.

It can be written as a sum of positive squares in 4 ways, for example, as 33802026230401 + 230532598890000 = 5813951^2 + 15183300^2 .

It is not a de Polignac number, because 264334625120401 - 2¹ = 264334625120399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264334625120407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13041315295 + ... + 13041335563.

It is an arithmetic number, because the mean of its divisors is an integer number (12109333523175).

Almost surely, 2^{264334625120401} is an apocalyptic number.

It is an amenable number.

264334625120401 is a deficient number, since it is larger than the sum of its proper divisors (26289379435799).

264334625120401 is a wasteful number, since it uses less digits than its factorization.

264334625120401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42561 (or 42550 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 264334625120401 in words is "two hundred sixty-four trillion, three hundred thirty-four billion, six hundred twenty-five million, one hundred twenty thousand, four hundred one".