6149113985664 has 384 divisors, whose sum is σ = 20807871235200. Its totient is φ = 1780736016384.

The previous prime is 6149113985653. The next prime is 6149113985713. The reversal of 6149113985664 is 4665893119416.

6149113985664 is a `hidden beast` number, since 6 + 1 + 491 + 1 + 3 + 9 + 85 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9619437 + ... + 10238739.

It is an arithmetic number, because the mean of its divisors is an integer number (54187164675).

Almost surely, 2^{6149113985664} is an apocalyptic number.

6149113985664 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 6149113985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10403935617600).

6149113985664 is an abundant number, since it is smaller than the sum of its proper divisors (14658757249536).

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

6149113985664 is a wasteful number, since it uses less digits than its factorization.

6149113985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619369 (or 619338 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 6149113985664 in words is "six trillion, one hundred forty-nine billion, one hundred thirteen million, nine hundred eighty-five thousand, six hundred sixty-four".