113829745629600 has 6912 divisors, whose sum is σ = 603990222151680. Its totient is φ = 20141059276800.

The previous prime is 113829745629557. The next prime is 113829745629631. The reversal of 113829745629600 is 6926547928311.

113829745629600 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 2 + 9 + 7 + 4 + 562 + 9 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 129794464362 + ... + 129794465238.

It is an arithmetic number, because the mean of its divisors is an integer number (87382844640).

It is a 1-persistent number, because it is pandigital, but 2⋅113829745629600 = 227659491259200 is not.

Almost surely, 2^{113829745629600} is an apocalyptic number.

113829745629600 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 113829745629600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301995111075840).

113829745629600 is an abundant number, since it is smaller than the sum of its proper divisors (490160476522080).

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

113829745629600 is a wasteful number, since it uses less digits than its factorization.

113829745629600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 113829745629600 in words is "one hundred thirteen trillion, eight hundred twenty-nine billion, seven hundred forty-five million, six hundred twenty-nine thousand, six hundred".