113761345950720 has 2376 divisors, whose sum is σ = 458194549726368. Its totient is φ = 27051342888960.

The previous prime is 113761345950719. The next prime is 113761345950739. The reversal of 113761345950720 is 27059543167311.

113761345950720 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 61 + 3 + 4 + 59 + 507 + 20 = 666.

113761345950720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 202062781159 + ... + 202062781721.

Almost surely, 2^{113761345950720} is an apocalyptic number.

113761345950720 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 113761345950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229097274863184).

113761345950720 is an abundant number, since it is smaller than the sum of its proper divisors (344433203775648).

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

113761345950720 is an equidigital number, since it uses as much as digits as its factorization.

113761345950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 113761345950720 in words is "one hundred thirteen trillion, seven hundred sixty-one billion, three hundred forty-five million, nine hundred fifty thousand, seven hundred twenty".