113977167204352 has 104 divisors (see below), whose sum is σ = 234642840570632. Its totient is φ = 55316614348800.

The previous prime is 113977167204337. The next prime is 113977167204403. The reversal of 113977167204352 is 253402761779311.

It can be written as a sum of positive squares in 4 ways, for example, as 21680719937536 + 92296447266816 = 4656256^2 + 9607104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62910202 + ... + 64696582.

It is an arithmetic number, because the mean of its divisors is an integer number (2256181159333).

Almost surely, 2^{113977167204352} 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 113977167204352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117321420285316).

113977167204352 is an abundant number, since it is smaller than the sum of its proper divisors (120665673366280).

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

113977167204352 is an equidigital number, since it uses as much as digits as its factorization.

113977167204352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786863 (or 1786841 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 58.

The spelling of 113977167204352 in words is "one hundred thirteen trillion, nine hundred seventy-seven billion, one hundred sixty-seven million, two hundred four thousand, three hundred fifty-two".