23126127146496 has 640 divisors, whose sum is σ = 78711629990400. Its totient is φ = 6638532526080.

The previous prime is 23126127146459. The next prime is 23126127146497. The reversal of 23126127146496 is 69464172162132.

23126127146496 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 6 + 1 + 2 + 7 + 146 + 496 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23126127146497) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 233672895 + ... + 233771841.

It is an arithmetic number, because the mean of its divisors is an integer number (122986921860).

Almost surely, 2^{23126127146496} 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 23126127146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39355814995200).

23126127146496 is an abundant number, since it is smaller than the sum of its proper divisors (55585502843904).

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

23126127146496 is a wasteful number, since it uses less digits than its factorization.

23126127146496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99067 (or 99045 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 23126127146496 in words is "twenty-three trillion, one hundred twenty-six billion, one hundred twenty-seven million, one hundred forty-six thousand, four hundred ninety-six".