6111638105664 has 896 divisors, whose sum is σ = 21608609218560. Its totient is φ = 1479636688896.

The previous prime is 6111638105647. The next prime is 6111638105687. The reversal of 6111638105664 is 4665018361116.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1607055187 + ... + 1607058989.

It is an arithmetic number, because the mean of its divisors is an integer number (24116751360).

Almost surely, 2^{6111638105664} is an apocalyptic number.

6111638105664 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 6111638105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10804304609280).

6111638105664 is an abundant number, since it is smaller than the sum of its proper divisors (15496971112896).

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

6111638105664 is a wasteful number, since it uses less digits than its factorization.

6111638105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 6111638105664 in words is "six trillion, one hundred eleven billion, six hundred thirty-eight million, one hundred five thousand, six hundred sixty-four".