113428632871008 has 2304 divisors, whose sum is σ = 446255308800000. Its totient is φ = 27907197566976.

The previous prime is 113428632871007. The next prime is 113428632871049. The reversal of 113428632871008 is 800178236824311.

113428632871008 is a `hidden beast` number, since 1 + 1 + 3 + 428 + 6 + 32 + 87 + 100 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113428632871007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 108130250068 + ... + 108130251116.

It is an arithmetic number, because the mean of its divisors is an integer number (193687200000).

Almost surely, 2^{113428632871008} is an apocalyptic number.

113428632871008 is a gapful number since it is divisible by the number (18) 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 113428632871008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223127654400000).

113428632871008 is an abundant number, since it is smaller than the sum of its proper divisors (332826675928992).

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

113428632871008 is a wasteful number, since it uses less digits than its factorization.

113428632871008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

It can be divided in two parts, 113428632 and 871008, that added together give a triangular number (114299640 = T₁₅₁₁₉).

The spelling of 113428632871008 in words is "one hundred thirteen trillion, four hundred twenty-eight billion, six hundred thirty-two million, eight hundred seventy-one thousand, eight".