113344651032480 has 2304 divisors, whose sum is σ = 499191848386560. Its totient is φ = 23888461234176.

The previous prime is 113344651032469. The next prime is 113344651032493. The reversal of 113344651032480 is 84230156443311.

113344651032480 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 4 + 4 + 65 + 103 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15331343664 + ... + 15331351056.

It is an arithmetic number, because the mean of its divisors is an integer number (216663128640).

Almost surely, 2^{113344651032480} is an apocalyptic number.

113344651032480 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 113344651032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249595924193280).

113344651032480 is an abundant number, since it is smaller than the sum of its proper divisors (385847197354080).

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

113344651032480 is a wasteful number, since it uses less digits than its factorization.

113344651032480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568 (or 7547 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 113344651032480 in words is "one hundred thirteen trillion, three hundred forty-four billion, six hundred fifty-one million, thirty-two thousand, four hundred eighty".