64337815201 has 9 divisors (see below), whose sum is σ = 70721491953. Its totient is φ = 58486386420.

The previous prime is 64337815189. The next prime is 64337815211. The reversal of 64337815201 is 10251873346.

The square root of 64337815201 is 253649.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 64337815201 - 2⁵ = 64337815169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64337815211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2778610 + ... + 2801668.

Almost surely, 2^64337815201 is an apocalyptic number.

64337815201 is the 253649-th square number.

64337815201 is the 126825-th centered octagonal number.

It is an amenable number.

64337815201 is a deficient number, since it is larger than the sum of its proper divisors (6383676752).

64337815201 is an frugal number, since it uses more digits than its factorization.

64337815201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46140 (or 23070 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 64337815201 in words is "sixty-four billion, three hundred thirty-seven million, eight hundred fifteen thousand, two hundred one".