113928252396000 has 1536 divisors, whose sum is σ = 445449517793280. Its totient is φ = 24908083200000.

The previous prime is 113928252395989. The next prime is 113928252396011. The reversal of 113928252396000 is 693252829311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113928252395989) and next prime (113928252396011).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 112912043496 + ... + 112912044504.

It is an arithmetic number, because the mean of its divisors is an integer number (290006196480).

Almost surely, 2^{113928252396000} is an apocalyptic number.

113928252396000 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 113928252396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222724758896640).

113928252396000 is an abundant number, since it is smaller than the sum of its proper divisors (331521265397280).

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

113928252396000 is a wasteful number, since it uses less digits than its factorization.

113928252396000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 113928252396000 in words is "one hundred thirteen trillion, nine hundred twenty-eight billion, two hundred fifty-two million, three hundred ninety-six thousand".