23214356516416 has 28 divisors (see below), whose sum is σ = 49609526307292. Its totient is φ = 10714318391808.

The previous prime is 23214356516383. The next prime is 23214356516437. The reversal of 23214356516416 is 61461565341232.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13379208217600 + 9835148298816 = 3657760^2 + 3136104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23214356516416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13950934575 + ... + 13950936238.

It is an arithmetic number, because the mean of its divisors is an integer number (1771768796689).

Almost surely, 2^{23214356516416} is an apocalyptic number.

23214356516416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

23214356516416 is an abundant number, since it is smaller than the sum of its proper divisors (26395169790876).

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

23214356516416 is a wasteful number, since it uses less digits than its factorization.

23214356516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27901870838 (or 27901870828 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 49.

The spelling of 23214356516416 in words is "twenty-three trillion, two hundred fourteen billion, three hundred fifty-six million, five hundred sixteen thousand, four hundred sixteen".