113761001432760 has 768 divisors, whose sum is σ = 396466624512000. Its totient is φ = 26021761920000.

The previous prime is 113761001432653. The next prime is 113761001432761. The reversal of 113761001432760 is 67234100167311.

113761001432760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113761001432761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151479362385 + ... + 151479363135.

It is an arithmetic number, because the mean of its divisors is an integer number (516232584000).

Almost surely, 2^{113761001432760} is an apocalyptic number.

113761001432760 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 113761001432760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198233312256000).

113761001432760 is an abundant number, since it is smaller than the sum of its proper divisors (282705623079240).

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

113761001432760 is a wasteful number, since it uses less digits than its factorization.

113761001432760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 113761001432760 in words is "one hundred thirteen trillion, seven hundred sixty-one billion, one million, four hundred thirty-two thousand, seven hundred sixty".