6112456403460 has 768 divisors, whose sum is σ = 19985549230080. Its totient is φ = 1382185728000.

The previous prime is 6112456403413. The next prime is 6112456403479. The reversal of 6112456403460 is 643046542116.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18466635495 + ... + 18466635825.

It is an arithmetic number, because the mean of its divisors is an integer number (26022850560).

Almost surely, 2^{6112456403460} is an apocalyptic number.

6112456403460 is a gapful number since it is divisible by the number (60) 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 6112456403460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9992774615040).

6112456403460 is an abundant number, since it is smaller than the sum of its proper divisors (13873092826620).

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

6112456403460 is a wasteful number, since it uses less digits than its factorization.

6112456403460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 6112456403460 in words is "six trillion, one hundred twelve billion, four hundred fifty-six million, four hundred three thousand, four hundred sixty".