2351395620864 has 576 divisors, whose sum is σ = 7576916256000. Its totient is φ = 699330723840.

The previous prime is 2351395620841. The next prime is 2351395620929. The reversal of 2351395620864 is 4680265931532.

It is a happy number.

2351395620864 is a `hidden beast` number, since 2 + 3 + 5 + 1 + 3 + 9 + 5 + 620 + 8 + 6 + 4 = 666.

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

It is a super-2 number, since 2×2351395620864² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2351395620864.

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, 416394489 + ... + 416400135.

It is an arithmetic number, because the mean of its divisors is an integer number (13154368500).

Almost surely, 2^{2351395620864} is an apocalyptic number.

2351395620864 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 2351395620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788458128000).

2351395620864 is an abundant number, since it is smaller than the sum of its proper divisors (5225520635136).

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

2351395620864 is a wasteful number, since it uses less digits than its factorization.

2351395620864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 2351395620864 in words is "two trillion, three hundred fifty-one billion, three hundred ninety-five million, six hundred twenty thousand, eight hundred sixty-four".