6114858220800 has 5184 divisors, whose sum is σ = 30290141306880. Its totient is φ = 1186749480960.

The previous prime is 6114858220787. The next prime is 6114858220813. The reversal of 6114858220800 is 80228584116.

6114858220800 is a `hidden beast` number, since 6 + 1 + 1 + 48 + 582 + 20 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6114858220787) and next prime (6114858220813).

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 130103366377 + ... + 130103366423.

Almost surely, 2^{6114858220800} is an apocalyptic number.

6114858220800 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 6114858220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145070653440).

6114858220800 is an abundant number, since it is smaller than the sum of its proper divisors (24175283086080).

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

6114858220800 is a wasteful number, since it uses less digits than its factorization.

6114858220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 6114858220800 in words is "six trillion, one hundred fourteen billion, eight hundred fifty-eight million, two hundred twenty thousand, eight hundred".