113379778512 has 1600 divisors, whose sum is σ = 480218264064. Its totient is φ = 24843386880.

The previous prime is 113379778507. The next prime is 113379778513. The reversal of 113379778512 is 215877973311.

113379778512 is a `hidden beast` number, since 1 + 1 + 3 + 37 + 97 + 7 + 8 + 512 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113379778513) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1168863648 + ... + 1168863744.

Almost surely, 2^113379778512 is an apocalyptic number.

113379778512 is a gapful number since it is divisible by the number (12) 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 113379778512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240109132032).

113379778512 is an abundant number, since it is smaller than the sum of its proper divisors (366838485552).

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

113379778512 is a wasteful number, since it uses less digits than its factorization.

113379778512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The spelling of 113379778512 in words is "one hundred thirteen billion, three hundred seventy-nine million, seven hundred seventy-eight thousand, five hundred twelve".