113135735095488 has 896 divisors, whose sum is σ = 402113617920000. Its totient is φ = 30505680801792.

The previous prime is 113135735095447. The next prime is 113135735095499. The reversal of 113135735095488 is 884590537531311.

It is a happy number.

113135735095488 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 3 + 5 + 73 + 509 + 54 + 8 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13832461383 + ... + 13832469561.

It is an arithmetic number, because the mean of its divisors is an integer number (448787520000).

Almost surely, 2^{113135735095488} is an apocalyptic number.

113135735095488 is a gapful number since it is divisible by the number (18) 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 113135735095488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201056808960000).

113135735095488 is an abundant number, since it is smaller than the sum of its proper divisors (288977882824512).

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

113135735095488 is a wasteful number, since it uses less digits than its factorization.

113135735095488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9122 (or 9106 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 113135735095488 in words is "one hundred thirteen trillion, one hundred thirty-five billion, seven hundred thirty-five million, ninety-five thousand, four hundred eighty-eight".