113827794696000 has 6720 divisors, whose sum is σ = 564168748695552. Its totient is φ = 22129873920000.

The previous prime is 113827794695987. The next prime is 113827794696001. The reversal of 113827794696000 is 696497728311.

113827794696000 is a `hidden beast` number, since 1 + 13 + 8 + 2 + 7 + 7 + 9 + 4 + 6 + 9 + 600 + 0 = 666.

113827794696000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (6720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113827794696001) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 896281847937 + ... + 896281848063.

Almost surely, 2^{113827794696000} is an apocalyptic number.

113827794696000 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 113827794696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282084374347776).

113827794696000 is an abundant number, since it is smaller than the sum of its proper divisors (450340953999552).

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

113827794696000 is a wasteful number, since it uses less digits than its factorization.

113827794696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 113827794696000 in words is "one hundred thirteen trillion, eight hundred twenty-seven billion, seven hundred ninety-four million, six hundred ninety-six thousand".