2315463796800 has 3528 divisors, whose sum is σ = 11302458024960. Its totient is φ = 460886630400.

The previous prime is 2315463796787. The next prime is 2315463796817. The reversal of 2315463796800 is 86973645132.

2315463796800 is a `hidden beast` number, since 2 + 3 + 1 + 546 + 3 + 7 + 96 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3528).

It is a super-2 number, since 2×2315463796800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 18231998337 + ... + 18231998463.

It is a 1-persistent number, because it is pandigital, but 2⋅2315463796800 = 4630927593600 is not.

Almost surely, 2^{2315463796800} is an apocalyptic number.

2315463796800 is a gapful number since it is divisible by the number (20) 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 2315463796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651229012480).

2315463796800 is an abundant number, since it is smaller than the sum of its proper divisors (8986994228160).

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

2315463796800 is a wasteful number, since it uses less digits than its factorization.

2315463796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2315463796800 in words is "two trillion, three hundred fifteen billion, four hundred sixty-three million, seven hundred ninety-six thousand, eight hundred".