113445813516000 has 3072 divisors, whose sum is σ = 487881418752000. Its totient is φ = 22911565824000.

The previous prime is 113445813515999. The next prime is 113445813516001. The reversal of 113445813516000 is 615318544311.

It is an interprime number because it is at equal distance from previous prime (113445813515999) and next prime (113445813516001).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113445813516001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 75079955245 + ... + 75079956755.

It is an arithmetic number, because the mean of its divisors is an integer number (158815566000).

Almost surely, 2^{113445813516000} is an apocalyptic number.

113445813516000 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 113445813516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243940709376000).

113445813516000 is an abundant number, since it is smaller than the sum of its proper divisors (374435605236000).

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

113445813516000 is a wasteful number, since it uses less digits than its factorization.

113445813516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 113445813516000 in words is "one hundred thirteen trillion, four hundred forty-five billion, eight hundred thirteen million, five hundred sixteen thousand".