23454246816 has 768 divisors, whose sum is σ = 93965598720. Its totient is φ = 5494210560.

The previous prime is 23454246797. The next prime is 23454246859. The reversal of 23454246816 is 61864245432.

23454246816 is a `hidden beast` number, since 2 + 34 + 542 + 4 + 68 + 16 = 666.

It is a super-2 number, since 2×23454246816² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40648320 + ... + 40648896.

It is an arithmetic number, because the mean of its divisors is an integer number (122351040).

Almost surely, 2^23454246816 is an apocalyptic number.

23454246816 is a gapful number since it is divisible by the number (26) 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 23454246816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46982799360).

23454246816 is an abundant number, since it is smaller than the sum of its proper divisors (70511351904).

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

23454246816 is a wasteful number, since it uses less digits than its factorization.

23454246816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 23454246816 in words is "twenty-three billion, four hundred fifty-four million, two hundred forty-six thousand, eight hundred sixteen".