2349533590656 has 128 divisors (see below), whose sum is σ = 7145052508800. Its totient is φ = 670115094528.

The previous prime is 2349533590637. The next prime is 2349533590661. The reversal of 2349533590656 is 6560953359432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2349533590656.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761386 + ... + 2297558.

It is an arithmetic number, because the mean of its divisors is an integer number (55820722725).

Almost surely, 2^{2349533590656} 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 2349533590656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572526254400).

2349533590656 is an abundant number, since it is smaller than the sum of its proper divisors (4795518918144).

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

2349533590656 is a wasteful number, since it uses less digits than its factorization.

2349533590656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536766 (or 1536754 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 60.

The spelling of 2349533590656 in words is "two trillion, three hundred forty-nine billion, five hundred thirty-three million, five hundred ninety thousand, six hundred fifty-six".