112315453665000 has 320 divisors, whose sum is σ = 352945062676800. Its totient is φ = 29774062848000.

The previous prime is 112315453664993. The next prime is 112315453665007. The reversal of 112315453665000 is 566354513211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112315453664993) and next prime (112315453665007).

It is a super-2 number, since 2×112315453665000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112315453665007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14158001034 + ... + 14158008966.

It is an arithmetic number, because the mean of its divisors is an integer number (1102953320865).

Almost surely, 2^{112315453665000} is an apocalyptic number.

112315453665000 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 112315453665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176472531338400).

112315453665000 is an abundant number, since it is smaller than the sum of its proper divisors (240629609011800).

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

112315453665000 is a wasteful number, since it uses less digits than its factorization.

112315453665000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13414 (or 13395 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 112315453665000 in words is "one hundred twelve trillion, three hundred fifteen billion, four hundred fifty-three million, six hundred sixty-five thousand".