113555312640 has 1560 divisors, whose sum is σ = 520642501632. Its totient is φ = 23410114560.

The previous prime is 113555312603. The next prime is 113555312653. The reversal of 113555312640 is 46213555311.

113555312640 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 5 + 5 + 3 + 1 + 2 + 640 = 666.

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 = 113555312595 and 113555312604.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 894136257 + ... + 894136383.

Almost surely, 2^113555312640 is an apocalyptic number.

113555312640 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 113555312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260321250816).

113555312640 is an abundant number, since it is smaller than the sum of its proper divisors (407087188992).

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

113555312640 is a wasteful number, since it uses less digits than its factorization.

113555312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 113555312640 its reverse (46213555311), we get a palindrome (159768867951).

The spelling of 113555312640 in words is "one hundred thirteen billion, five hundred fifty-five million, three hundred twelve thousand, six hundred forty".