10506314664 has 24 divisors (see below), whose sum is σ = 28454602410. Its totient is φ = 3502104864.

The previous prime is 10506314659. The next prime is 10506314711. The reversal of 10506314664 is 46641360501.

It is a happy number.

10506314664 is a `hidden beast` number, since 1 + 0 + 506 + 3 + 146 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10395433764 + 110880900 = 101958^2 + 10530^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10506314664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72960447 + ... + 72960590.

Almost surely, 2^10506314664 is an apocalyptic number.

It is an amenable number.

10506314664 is an abundant number, since it is smaller than the sum of its proper divisors (17948287746).

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

10506314664 is a wasteful number, since it uses less digits than its factorization.

10506314664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145921049 (or 145921042 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10506314664 in words is "ten billion, five hundred six million, three hundred fourteen thousand, six hundred sixty-four".