11472193247232 has 384 divisors, whose sum is σ = 32691010060800. Its totient is φ = 3565174652928.

The previous prime is 11472193247209. The next prime is 11472193247257. The reversal of 11472193247232 is 23274239127411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11472193247232² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 6111982678 + ... + 6111984554.

It is an arithmetic number, because the mean of its divisors is an integer number (85132838700).

Almost surely, 2^{11472193247232} is an apocalyptic number.

11472193247232 is a gapful number since it is divisible by the number (12) 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 11472193247232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345505030400).

11472193247232 is an abundant number, since it is smaller than the sum of its proper divisors (21218816813568).

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

11472193247232 is a wasteful number, since it uses less digits than its factorization.

11472193247232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2421 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The spelling of 11472193247232 in words is "eleven trillion, four hundred seventy-two billion, one hundred ninety-three million, two hundred forty-seven thousand, two hundred thirty-two".