2352087456768 has 1584 divisors, whose sum is σ = 8853415833600. Its totient is φ = 596957921280.

The previous prime is 2352087456767. The next prime is 2352087456793. The reversal of 2352087456768 is 8676547802532.

2352087456768 is a `hidden beast` number, since 2 + 3 + 5 + 2 + 0 + 8 + 7 + 4 + 567 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352087456767) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9841369993 + ... + 9841370231.

Almost surely, 2^{2352087456768} is an apocalyptic number.

2352087456768 is a gapful number since it is divisible by the number (28) 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 2352087456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426707916800).

2352087456768 is an abundant number, since it is smaller than the sum of its proper divisors (6501328376832).

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

2352087456768 is a wasteful number, since it uses less digits than its factorization.

2352087456768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 2352087456768 in words is "two trillion, three hundred fifty-two billion, eighty-seven million, four hundred fifty-six thousand, seven hundred sixty-eight".