113510347287456 has 1152 divisors, whose sum is σ = 368225373358080. Its totient is φ = 30484830609408.

The previous prime is 113510347287443. The next prime is 113510347287521. The reversal of 113510347287456 is 654782743015311.

It is a junction number, because it is equal to n+sod(n) for n = 113510347287396 and 113510347287405.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 327119156275 + ... + 327119156621.

It is an arithmetic number, because the mean of its divisors is an integer number (319640081040).

Almost surely, 2^{113510347287456} is an apocalyptic number.

113510347287456 is a gapful number since it is divisible by the number (16) 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 113510347287456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184112686679040).

113510347287456 is an abundant number, since it is smaller than the sum of its proper divisors (254715026070624).

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

113510347287456 is a wasteful number, since it uses less digits than its factorization.

113510347287456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 113510347287456 in words is "one hundred thirteen trillion, five hundred ten billion, three hundred forty-seven million, two hundred eighty-seven thousand, four hundred fifty-six".