10934614080 has 168 divisors, whose sum is σ = 40503771672. Its totient is φ = 2691588096.

The previous prime is 10934614073. The next prime is 10934614127. The reversal of 10934614080 is 8041643901.

10934614080 is a `hidden beast` number, since 1 + 0 + 9 + 34 + 614 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1589138496 + 9345475584 = 39864^2 + 96672^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108589 + ... + 183468.

It is an arithmetic number, because the mean of its divisors is an integer number (241093879).

Almost surely, 2^10934614080 is an apocalyptic number.

10934614080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10934614080 is an abundant number, since it is smaller than the sum of its proper divisors (29569157592).

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

10934614080 is a wasteful number, since it uses less digits than its factorization.

10934614080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292093 (or 292080 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10934614080 in words is "ten billion, nine hundred thirty-four million, six hundred fourteen thousand, eighty".