113388269778000 has 960 divisors, whose sum is σ = 462879480960000. Its totient is φ = 25858964275200.

The previous prime is 113388269777921. The next prime is 113388269778107. The reversal of 113388269778000 is 877962883311.

113388269778000 is a `hidden beast` number, since 113 + 388 + 2 + 69 + 7 + 7 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2772105549 + ... + 2772146451.

It is an arithmetic number, because the mean of its divisors is an integer number (482166126000).

Almost surely, 2^{113388269778000} is an apocalyptic number.

113388269778000 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 113388269778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231439740480000).

113388269778000 is an abundant number, since it is smaller than the sum of its proper divisors (349491211182000).

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

113388269778000 is a wasteful number, since it uses less digits than its factorization.

113388269778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41402 (or 41369 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 113388269778000 in words is "one hundred thirteen trillion, three hundred eighty-eight billion, two hundred sixty-nine million, seven hundred seventy-eight thousand".