6116652046800 has 420 divisors, whose sum is σ = 22238833275360. Its totient is φ = 1615854977280.

The previous prime is 6116652046783. The next prime is 6116652046801. The reversal of 6116652046800 is 86402566116.

6116652046800 is a `hidden beast` number, since 6 + 1 + 1 + 6 + 6 + 520 + 46 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6116652046801) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 31103181 + ... + 31299219.

Almost surely, 2^{6116652046800} is an apocalyptic number.

6116652046800 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 6116652046800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11119416637680).

6116652046800 is an abundant number, since it is smaller than the sum of its proper divisors (16122181228560).

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

6116652046800 is a wasteful number, since it uses less digits than its factorization.

6116652046800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196182 (or 196156 counting only the distinct ones).

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

The spelling of 6116652046800 in words is "six trillion, one hundred sixteen billion, six hundred fifty-two million, forty-six thousand, eight hundred".