113346630540 has 288 divisors, whose sum is σ = 404464709376. Its totient is φ = 25330475520.

The previous prime is 113346630517. The next prime is 113346630559. The reversal of 113346630540 is 45036643311.

113346630540 is a `hidden beast` number, since 1 + 1 + 3 + 346 + 6 + 305 + 4 + 0 = 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 = 113346630495 and 113346630504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22725927 + ... + 22730913.

It is an arithmetic number, because the mean of its divisors is an integer number (1404391352).

Almost surely, 2^113346630540 is an apocalyptic number.

113346630540 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 113346630540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202232354688).

113346630540 is an abundant number, since it is smaller than the sum of its proper divisors (291118078836).

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

113346630540 is a wasteful number, since it uses less digits than its factorization.

113346630540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 113346630540 in words is "one hundred thirteen billion, three hundred forty-six million, six hundred thirty thousand, five hundred forty".