10664313552 has 70 divisors (see below), whose sum is σ = 30979023602. Its totient is φ = 3554767296.

The previous prime is 10664313547. The next prime is 10664313557. The reversal of 10664313552 is 25531346601.

10664313552 is a `hidden beast` number, since 1 + 0 + 6 + 643 + 1 + 3 + 5 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10664313547) and next prime (10664313557).

It can be written as a sum of positive squares in only one way, i.e., 10593349776 + 70963776 = 102924^2 + 8424^2 .

It is a super-2 number, since 2×10664313552² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10664313557) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 445483 + ... + 468810.

Almost surely, 2^10664313552 is an apocalyptic number.

10664313552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10664313552 is an abundant number, since it is smaller than the sum of its proper divisors (20314710050).

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

10664313552 is an frugal number, since it uses more digits than its factorization.

10664313552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914319 (or 914298 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 10664313552 in words is "ten billion, six hundred sixty-four million, three hundred thirteen thousand, five hundred fifty-two".