113405460480 has 1152 divisors, whose sum is σ = 475632259200. Its totient is φ = 25367150592.

The previous prime is 113405460479. The next prime is 113405460517. The reversal of 113405460480 is 84064504311.

113405460480 is a `hidden beast` number, since 1 + 1 + 3 + 40 + 5 + 4 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3910533106 + ... + 3910533134.

It is an arithmetic number, because the mean of its divisors is an integer number (412875225).

Almost surely, 2^113405460480 is an apocalyptic number.

113405460480 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 113405460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237816129600).

113405460480 is an abundant number, since it is smaller than the sum of its proper divisors (362226798720).

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

113405460480 is an equidigital number, since it uses as much as digits as its factorization.

113405460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 113405460480 its reverse (84064504311), we get a palindrome (197469964791).

The spelling of 113405460480 in words is "one hundred thirteen billion, four hundred five million, four hundred sixty thousand, four hundred eighty".