6048891684864 has 576 divisors, whose sum is σ = 21506054169600. Its totient is φ = 1599189516288.

The previous prime is 6048891684859. The next prime is 6048891684877. The reversal of 6048891684864 is 4684861988406.

6048891684864 is a `hidden beast` number, since 6 + 0 + 4 + 8 + 89 + 1 + 68 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6048891684792 and 6048891684801.

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, 105383917 + ... + 105441299.

It is an arithmetic number, because the mean of its divisors is an integer number (37336899600).

Almost surely, 2^{6048891684864} is an apocalyptic number.

6048891684864 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 6048891684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10753027084800).

6048891684864 is an abundant number, since it is smaller than the sum of its proper divisors (15457162484736).

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

6048891684864 is a wasteful number, since it uses less digits than its factorization.

6048891684864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57480 (or 57457 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 72.

The spelling of 6048891684864 in words is "six trillion, forty-eight billion, eight hundred ninety-one million, six hundred eighty-four thousand, eight hundred sixty-four".