113648797440 has 1152 divisors, whose sum is σ = 443811594240. Its totient is φ = 27471052800.

The previous prime is 113648797433. The next prime is 113648797441. The reversal of 113648797440 is 44797846311.

It is a happy number.

113648797440 is a `hidden beast` number, since 1 + 1 + 36 + 4 + 87 + 97 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113648797441) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1863095010 + ... + 1863095070.

It is an arithmetic number, because the mean of its divisors is an integer number (385253120).

Almost surely, 2^113648797440 is an apocalyptic number.

113648797440 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 113648797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221905797120).

113648797440 is an abundant number, since it is smaller than the sum of its proper divisors (330162796800).

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

113648797440 is a wasteful number, since it uses less digits than its factorization.

113648797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 113648797440 in words is "one hundred thirteen billion, six hundred forty-eight million, seven hundred ninety-seven thousand, four hundred forty".