10361611264 has 33 divisors (see below), whose sum is σ = 20719617321. Its totient is φ = 5179176960.

The previous prime is 10361611261. The next prime is 10361611291. The reversal of 10361611264 is 46211616301.

The square root of 10361611264 is 101792.

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

It can be written as a sum of positive squares in only one way, i.e., 773284864 + 9588326400 = 27808^2 + 97920^2 .

It is a super-3 number, since 3×10361611264³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10361611261) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3255754 + ... + 3258934.

Almost surely, 2^10361611264 is an apocalyptic number.

10361611264 is the 101792-nd square number.

It is an amenable number.

10361611264 is a deficient number, since it is larger than the sum of its proper divisors (10358006057).

10361611264 is an frugal number, since it uses more digits than its factorization.

10361611264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6382 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Multiplying 10361611264 by its product of nonzero digits (5184), we get a square (53714592792576 = 7329024²).

The spelling of 10361611264 in words is "ten billion, three hundred sixty-one million, six hundred eleven thousand, two hundred sixty-four".