2368351125504 has 840 divisors, whose sum is σ = 8744427056960. Its totient is φ = 624333422592.

The previous prime is 2368351125457. The next prime is 2368351125563. The reversal of 2368351125504 is 4055211538632.

It is a happy number.

2368351125504 is a `hidden beast` number, since 2 + 3 + 6 + 83 + 5 + 1 + 12 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2368351125504.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1086897087 + ... + 1086899265.

Almost surely, 2^{2368351125504} is an apocalyptic number.

2368351125504 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 2368351125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372213528480).

2368351125504 is an abundant number, since it is smaller than the sum of its proper divisors (6376075931456).

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

2368351125504 is an frugal number, since it uses more digits than its factorization.

2368351125504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 2368351125504 in words is "two trillion, three hundred sixty-eight billion, three hundred fifty-one million, one hundred twenty-five thousand, five hundred four".