113435461601280 has 4608 divisors, whose sum is σ = 551954066227200. Its totient is φ = 21522102091776.

The previous prime is 113435461601279. The next prime is 113435461601359. The reversal of 113435461601280 is 82106164534311.

It is a happy number.

113435461601280 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 3 + 5 + 4 + 616 + 0 + 1 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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 383 ways as a sum of consecutive naturals, for example, 127886652997 + ... + 127886653883.

It is an arithmetic number, because the mean of its divisors is an integer number (119781698400).

Almost surely, 2^{113435461601280} is an apocalyptic number.

113435461601280 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 113435461601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275977033113600).

113435461601280 is an abundant number, since it is smaller than the sum of its proper divisors (438518604625920).

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

113435461601280 is a wasteful number, since it uses less digits than its factorization.

113435461601280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 113435461601280 in words is "one hundred thirteen trillion, four hundred thirty-five billion, four hundred sixty-one million, six hundred one thousand, two hundred eighty".