23142761496576 has 608 divisors, whose sum is σ = 71359067794560. Its totient is φ = 7498880778240.

The previous prime is 23142761496487. The next prime is 23142761496583. The reversal of 23142761496576 is 67569416724132.

23142761496576 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 2 + 7 + 614 + 9 + 6 + 5 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21212429791 + ... + 21212430881.

It is an arithmetic number, because the mean of its divisors is an integer number (117366887820).

Almost surely, 2^{23142761496576} 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 23142761496576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35679533897280).

23142761496576 is an abundant number, since it is smaller than the sum of its proper divisors (48216306297984).

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

23142761496576 is an frugal number, since it uses more digits than its factorization.

23142761496576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1133 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 23142761496576 in words is "twenty-three trillion, one hundred forty-two billion, seven hundred sixty-one million, four hundred ninety-six thousand, five hundred seventy-six".