6114516885504 has 336 divisors, whose sum is σ = 18360749206800. Its totient is φ = 2033335664640.

The previous prime is 6114516885437. The next prime is 6114516885523. The reversal of 6114516885504 is 4055886154116.

It is a happy number.

6114516885504 is a `hidden beast` number, since 6 + 1 + 1 + 4 + 5 + 1 + 6 + 88 + 550 + 4 = 666.

It is a super-2 number, since 2×6114516885504² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 893801124 + ... + 893807964.

It is an arithmetic number, because the mean of its divisors is an integer number (54645086925).

Almost surely, 2^{6114516885504} is an apocalyptic number.

6114516885504 is a gapful number since it is divisible by the number (64) 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 6114516885504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180374603400).

6114516885504 is an abundant number, since it is smaller than the sum of its proper divisors (12246232321296).

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

6114516885504 is an frugal number, since it uses more digits than its factorization.

6114516885504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7331 (or 7295 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 6114516885504 in words is "six trillion, one hundred fourteen billion, five hundred sixteen million, eight hundred eighty-five thousand, five hundred four".