113187147448320 has 3072 divisors, whose sum is σ = 491189325419520. Its totient is φ = 24665024102400.

The previous prime is 113187147448279. The next prime is 113187147448327. The reversal of 113187147448320 is 23844741781311.

113187147448320 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 8 + 71 + 4 + 74 + 483 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×113187147448320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113187147448327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 171236228790 + ... + 171236229450.

It is an arithmetic number, because the mean of its divisors is an integer number (159892358535).

Almost surely, 2^{113187147448320} is an apocalyptic number.

113187147448320 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 113187147448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245594662709760).

113187147448320 is an abundant number, since it is smaller than the sum of its proper divisors (378002177971200).

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

113187147448320 is an equidigital number, since it uses as much as digits as its factorization.

113187147448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 113187147448320 in words is "one hundred thirteen trillion, one hundred eighty-seven billion, one hundred forty-seven million, four hundred forty-eight thousand, three hundred twenty".