113140407744 has 224 divisors, whose sum is σ = 409368995840. Its totient is φ = 29839186944.

The previous prime is 113140407713. The next prime is 113140407767. The reversal of 113140407744 is 447704041311.

113140407744 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113140407699 and 113140407708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202504 + ... + 516999.

It is an arithmetic number, because the mean of its divisors is an integer number (1827540160).

Almost surely, 2^113140407744 is an apocalyptic number.

113140407744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

113140407744 is an abundant number, since it is smaller than the sum of its proper divisors (296228588096).

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

113140407744 is a wasteful number, since it uses less digits than its factorization.

113140407744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719544 (or 719528 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 113140407744 in words is "one hundred thirteen billion, one hundred forty million, four hundred seven thousand, seven hundred forty-four".