113460134621184 has 1664 divisors, whose sum is σ = 400720348385280. Its totient is φ = 31396605198336.

The previous prime is 113460134621147. The next prime is 113460134621299. The reversal of 113460134621184 is 481126431064311.

113460134621184 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 6 + 0 + 1 + 3 + 4 + 621 + 18 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×113460134621184² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49394920324 + ... + 49394922620.

Almost surely, 2^{113460134621184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113460134621184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200360174192640).

113460134621184 is an abundant number, since it is smaller than the sum of its proper divisors (287260213764096).

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

113460134621184 is a wasteful number, since it uses less digits than its factorization.

113460134621184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

Adding to 113460134621184 its reverse (481126431064311), we get a palindrome (594586565685495).

The spelling of 113460134621184 in words is "one hundred thirteen trillion, four hundred sixty billion, one hundred thirty-four million, six hundred twenty-one thousand, one hundred eighty-four".