113517781776 has 375 divisors, whose sum is σ = 385306744823. Its totient is φ = 32263842240.

The previous prime is 113517781723. The next prime is 113517781789. The reversal of 113517781776 is 677187715311.

The square root of 113517781776 is 336924.

It is a perfect power (a square), and thus also a powerful number.

113517781776 is a `hidden beast` number, since 113 + 517 + 7 + 8 + 1 + 7 + 7 + 6 = 666.

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

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 74 ways as a sum of consecutive naturals, for example, 594333841 + ... + 594334031.

Almost surely, 2^113517781776 is an apocalyptic number.

113517781776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113517781776 is the 336924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113517781776

113517781776 is an abundant number, since it is smaller than the sum of its proper divisors (271788963047).

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

113517781776 is an frugal number, since it uses more digits than its factorization.

113517781776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 203 counting only the distinct ones).

The product of its digits is 1728720, while the sum is 54.

The spelling of 113517781776 in words is "one hundred thirteen billion, five hundred seventeen million, seven hundred eighty-one thousand, seven hundred seventy-six".