113453616641040 has 880 divisors, whose sum is σ = 429200977920960. Its totient is φ = 27724044026880.

The previous prime is 113453616641023. The next prime is 113453616641083. The reversal of 113453616641040 is 40146616354311.

It is a happy number.

113453616641040 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 5 + 36 + 166 + 410 + 40 = 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 175 ways as a sum of consecutive naturals, for example, 8536116795 + ... + 8536130085.

Almost surely, 2^{113453616641040} is an apocalyptic number.

113453616641040 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 113453616641040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214600488960480).

113453616641040 is an abundant number, since it is smaller than the sum of its proper divisors (315747361279920).

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

113453616641040 is a wasteful number, since it uses less digits than its factorization.

113453616641040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13486 (or 13453 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 113453616641040 in words is "one hundred thirteen trillion, four hundred fifty-three billion, six hundred sixteen million, six hundred forty-one thousand, forty".