113629171140 has 288 divisors, whose sum is σ = 362607840000. Its totient is φ = 29536607232.

The previous prime is 113629171127. The next prime is 113629171153. The reversal of 113629171140 is 41171926311.

113629171140 is a `hidden beast` number, since 1 + 1 + 3 + 629 + 17 + 1 + 14 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113629171127) and next prime (113629171153).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113629171095 and 113629171104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 571000761 + ... + 571000959.

It is an arithmetic number, because the mean of its divisors is an integer number (1259055000).

Almost surely, 2^113629171140 is an apocalyptic number.

113629171140 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 113629171140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181303920000).

113629171140 is an abundant number, since it is smaller than the sum of its proper divisors (248978668860).

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

113629171140 is a wasteful number, since it uses less digits than its factorization.

113629171140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 113629171140 in words is "one hundred thirteen billion, six hundred twenty-nine million, one hundred seventy-one thousand, one hundred forty".