113545531680 has 384 divisors, whose sum is σ = 419899189248. Its totient is φ = 25251028992.

The previous prime is 113545531601. The next prime is 113545531721. The reversal of 113545531680 is 86135545311.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40886452 + ... + 40889228.

It is an arithmetic number, because the mean of its divisors is an integer number (1093487472).

Almost surely, 2^113545531680 is an apocalyptic number.

113545531680 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 113545531680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209949594624).

113545531680 is an abundant number, since it is smaller than the sum of its proper divisors (306353657568).

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

113545531680 is a wasteful number, since it uses less digits than its factorization.

113545531680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 113545531680 in words is "one hundred thirteen billion, five hundred forty-five million, five hundred thirty-one thousand, six hundred eighty".