2313059617344 has 336 divisors, whose sum is σ = 7458459706368. Its totient is φ = 619606843392.

The previous prime is 2313059617313. The next prime is 2313059617403. The reversal of 2313059617344 is 4437169503132.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×2313059617344³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2313059617293 and 2313059617302.

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, 102142087 + ... + 102164729.

Almost surely, 2^{2313059617344} is an apocalyptic number.

2313059617344 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 2313059617344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729229853184).

2313059617344 is an abundant number, since it is smaller than the sum of its proper divisors (5145400089024).

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

2313059617344 is a wasteful number, since it uses less digits than its factorization.

2313059617344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22962 (or 22935 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 2313059617344 in words is "two trillion, three hundred thirteen billion, fifty-nine million, six hundred seventeen thousand, three hundred forty-four".