2364343140096 has 576 divisors, whose sum is σ = 8324646220800. Its totient is φ = 647847936000.

The previous prime is 2364343140031. The next prime is 2364343140101. The reversal of 2364343140096 is 6900413434632.

2364343140096 is a `hidden beast` number, since 23 + 64 + 343 + 140 + 0 + 96 = 666.

2364343140096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117030796 + ... + 117050996.

It is an arithmetic number, because the mean of its divisors is an integer number (14452510800).

Almost surely, 2^{2364343140096} 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 2364343140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162323110400).

2364343140096 is an abundant number, since it is smaller than the sum of its proper divisors (5960303080704).

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

2364343140096 is a wasteful number, since it uses less digits than its factorization.

2364343140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20333 (or 20313 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 2364343140096 in words is "two trillion, three hundred sixty-four billion, three hundred forty-three million, one hundred forty thousand, ninety-six".