113552454214080 has 672 divisors, whose sum is σ = 473466590198784. Its totient is φ = 24384660406272.

The previous prime is 113552454213997. The next prime is 113552454214081. The reversal of 113552454214080 is 80412454255311.

113552454214080 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 5 + 24 + 542 + 1 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113552454214081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192657109 + ... + 193245611.

It is an arithmetic number, because the mean of its divisors is an integer number (704563378272).

Almost surely, 2^{113552454214080} is an apocalyptic number.

113552454214080 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 113552454214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236733295099392).

113552454214080 is an abundant number, since it is smaller than the sum of its proper divisors (359914135984704).

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

113552454214080 is a wasteful number, since it uses less digits than its factorization.

113552454214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589113 (or 589100 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 113552454214080 in words is "one hundred thirteen trillion, five hundred fifty-two billion, four hundred fifty-four million, two hundred fourteen thousand, eighty".