613114452462120 has 512 divisors, whose sum is σ = 2125905946214400. Its totient is φ = 138564903859200.

The previous prime is 613114452462041. The next prime is 613114452462133. The reversal of 613114452462120 is 21264254411316.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20974787905 + ... + 20974817135.

It is an arithmetic number, because the mean of its divisors is an integer number (4152160051200).

Almost surely, 2^{613114452462120} is an apocalyptic number.

613114452462120 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 613114452462120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062952973107200).

613114452462120 is an abundant number, since it is smaller than the sum of its proper divisors (1512791493752280).

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

613114452462120 is a wasteful number, since it uses less digits than its factorization.

613114452462120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30229 (or 30225 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 613114452462120 in words is "six hundred thirteen trillion, one hundred fourteen billion, four hundred fifty-two million, four hundred sixty-two thousand, one hundred twenty".