6888161101008 has 240 divisors, whose sum is σ = 19685782404288. Its totient is φ = 2073852211200.

The previous prime is 6888161100973. The next prime is 6888161101061. The reversal of 6888161101008 is 8001011618886.

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

It is a congruent number.

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, 573481723 + ... + 573493733.

Almost surely, 2^{6888161101008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6888161101008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9842891202144).

6888161101008 is an abundant number, since it is smaller than the sum of its proper divisors (12797621303280).

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

6888161101008 is a wasteful number, since it uses less digits than its factorization.

6888161101008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12674 (or 12657 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 48.

The spelling of 6888161101008 in words is "six trillion, eight hundred eighty-eight billion, one hundred sixty-one million, one hundred one thousand, eight".