11472164000 has 192 divisors, whose sum is σ = 31006789632. Its totient is φ = 4136832000.

The previous prime is 11472163993. The next prime is 11472164021. The reversal of 11472164000 is 46127411.

It is a super-3 number, since 3×11472164000³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5586974 + ... + 5589026.

It is an arithmetic number, because the mean of its divisors is an integer number (161493696).

Almost surely, 2^11472164000 is an apocalyptic number.

11472164000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11472164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15503394816).

11472164000 is an abundant number, since it is smaller than the sum of its proper divisors (19534625632).

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

11472164000 is a wasteful number, since it uses less digits than its factorization.

11472164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 11472164000 in words is "eleven billion, four hundred seventy-two million, one hundred sixty-four thousand".