11830167564 has 48 divisors (see below), whose sum is σ = 27834782976. Its totient is φ = 3910513600.

The previous prime is 11830167529. The next prime is 11830167589. The reversal of 11830167564 is 46576103811.

It is a super-3 number, since 3×11830167564³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727159 + ... + 743249.

It is an arithmetic number, because the mean of its divisors is an integer number (579891312).

Almost surely, 2^11830167564 is an apocalyptic number.

It is an amenable number.

11830167564 is an abundant number, since it is smaller than the sum of its proper divisors (16004615412).

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

11830167564 is a wasteful number, since it uses less digits than its factorization.

11830167564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16606 (or 16604 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 11830167564 in words is "eleven billion, eight hundred thirty million, one hundred sixty-seven thousand, five hundred sixty-four".