113181449247360 has 2560 divisors, whose sum is σ = 465001536384000. Its totient is φ = 26160086384640.

The previous prime is 113181449247337. The next prime is 113181449247389. The reversal of 113181449247360 is 63742944181311.

113181449247360 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 81 + 4 + 4 + 92 + 473 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113181449247297 and 113181449247306.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 417643724025 + ... + 417643724295.

It is an arithmetic number, because the mean of its divisors is an integer number (181641225150).

Almost surely, 2^{113181449247360} is an apocalyptic number.

113181449247360 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 113181449247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232500768192000).

113181449247360 is an abundant number, since it is smaller than the sum of its proper divisors (351820087136640).

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

113181449247360 is a wasteful number, since it uses less digits than its factorization.

113181449247360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 113181449247360 in words is "one hundred thirteen trillion, one hundred eighty-one billion, four hundred forty-nine million, two hundred forty-seven thousand, three hundred sixty".