2683231445664 has 960 divisors, whose sum is σ = 10337812531200. Its totient is φ = 661998458880.

The previous prime is 2683231445611. The next prime is 2683231445717. The reversal of 2683231445664 is 4665441323862.

2683231445664 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 2 + 31 + 44 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2683231445611) and next prime (2683231445717).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2683231445664.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 683972407 + ... + 683976329.

It is an arithmetic number, because the mean of its divisors is an integer number (10768554720).

Almost surely, 2^{2683231445664} is an apocalyptic number.

2683231445664 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 2683231445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168906265600).

2683231445664 is an abundant number, since it is smaller than the sum of its proper divisors (7654581085536).

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

2683231445664 is a wasteful number, since it uses less digits than its factorization.

2683231445664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4118 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 2683231445664 in words is "two trillion, six hundred eighty-three billion, two hundred thirty-one million, four hundred forty-five thousand, six hundred sixty-four".