113629339152 has 240 divisors, whose sum is σ = 366077617152. Its totient is φ = 32230275840.

The previous prime is 113629339139. The next prime is 113629339163. The reversal of 113629339152 is 251933926311.

113629339152 is a `hidden beast` number, since 1 + 1 + 3 + 629 + 3 + 3 + 9 + 15 + 2 = 666.

113629339152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×113629339152³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 113629339098 and 113629339107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144382503 + ... + 144383289.

Almost surely, 2^113629339152 is an apocalyptic number.

113629339152 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 113629339152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183038808576).

113629339152 is an abundant number, since it is smaller than the sum of its proper divisors (252448278000).

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

113629339152 is a wasteful number, since it uses less digits than its factorization.

113629339152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1657 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The spelling of 113629339152 in words is "one hundred thirteen billion, six hundred twenty-nine million, three hundred thirty-nine thousand, one hundred fifty-two".