23140839891456 has 1920 divisors, whose sum is σ = 87414309126144. Its totient is φ = 5959546306560.

The previous prime is 23140839891413. The next prime is 23140839891467. The reversal of 23140839891456 is 65419893804132.

23140839891456 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 0 + 8 + 3 + 98 + 91 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 23140839891393 and 23140839891402.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 58289269050 + ... + 58289269446.

Almost surely, 2^{23140839891456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23140839891456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43707154563072).

23140839891456 is an abundant number, since it is smaller than the sum of its proper divisors (64273469234688).

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

23140839891456 is a wasteful number, since it uses less digits than its factorization.

23140839891456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 23140839891456 in words is "twenty-three trillion, one hundred forty billion, eight hundred thirty-nine million, eight hundred ninety-one thousand, four hundred fifty-six".