113749831887552 has 392 divisors, whose sum is σ = 387657146553600. Its totient is φ = 32425879315968.

The previous prime is 113749831887539. The next prime is 113749831887553. The reversal of 113749831887552 is 255788138947311.

113749831887552 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 498 + 3 + 1 + 8 + 87 + 5 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (113749831887553) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 142977199 + ... + 143770577.

Almost surely, 2^{113749831887552} is an apocalyptic number.

113749831887552 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 113749831887552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193828573276800).

113749831887552 is an abundant number, since it is smaller than the sum of its proper divisors (273907314666048).

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

113749831887552 is an frugal number, since it uses more digits than its factorization.

113749831887552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793855 (or 793830 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 72.

The spelling of 113749831887552 in words is "one hundred thirteen trillion, seven hundred forty-nine billion, eight hundred thirty-one million, eight hundred eighty-seven thousand, five hundred fifty-two".