113457998430 has 320 divisors, whose sum is σ = 359195760000. Its totient is φ = 25153929216.

The previous prime is 113457998411. The next prime is 113457998431. The reversal of 113457998430 is 34899754311.

113457998430 is a `hidden beast` number, since 1 + 1 + 34 + 579 + 9 + 8 + 4 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113457998431) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 90838446 + ... + 90839694.

It is an arithmetic number, because the mean of its divisors is an integer number (1122486750).

Almost surely, 2^113457998430 is an apocalyptic number.

113457998430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113457998430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179597880000).

113457998430 is an abundant number, since it is smaller than the sum of its proper divisors (245737761570).

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

113457998430 is a wasteful number, since it uses less digits than its factorization.

113457998430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 113457998430 in words is "one hundred thirteen billion, four hundred fifty-seven million, nine hundred ninety-eight thousand, four hundred thirty".