2688364746144 has 2304 divisors, whose sum is σ = 11035964620800. Its totient is φ = 640185638400.

The previous prime is 2688364746139. The next prime is 2688364746149. The reversal of 2688364746144 is 4416474638862.

2688364746144 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 3 + 6 + 4 + 7 + 4 + 614 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2688364746139) and next prime (2688364746149).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (148635648) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (2688364746149) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 86721443409 + ... + 86721443439.

It is an arithmetic number, because the mean of its divisors is an integer number (4789915200).

Almost surely, 2^{2688364746144} is an apocalyptic number.

2688364746144 is a gapful number since it is divisible by the number (24) 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 2688364746144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517982310400).

2688364746144 is an abundant number, since it is smaller than the sum of its proper divisors (8347599874656).

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

2688364746144 is an equidigital number, since it uses as much as digits as its factorization.

2688364746144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 73 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 2688364746144 in words is "two trillion, six hundred eighty-eight billion, three hundred sixty-four million, seven hundred forty-six thousand, one hundred forty-four".