2312481972801 has 384 divisors, whose sum is σ = 4453569921024. Its totient is φ = 1047816000000.

The previous prime is 2312481972769. The next prime is 2312481972893. The reversal of 2312481972801 is 1082791842132.

It is not a de Polignac number, because 2312481972801 - 2⁵ = 2312481972769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2312481972701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6986350206 + ... + 6986350536.

It is an arithmetic number, because the mean of its divisors is an integer number (11597838336).

Almost surely, 2^{2312481972801} is an apocalyptic number.

2312481972801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2312481972801 is a deficient number, since it is larger than the sum of its proper divisors (2141087948223).

2312481972801 is a wasteful number, since it uses less digits than its factorization.

2312481972801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 2312481972801 in words is "two trillion, three hundred twelve billion, four hundred eighty-one million, nine hundred seventy-two thousand, eight hundred one".