23007772245744 has 1440 divisors, whose sum is σ = 81157789140480. Its totient is φ = 6069216890880.

The previous prime is 23007772245737. The next prime is 23007772245763. The reversal of 23007772245744 is 44754227770032.

23007772245744 is a `hidden beast` number, since 2 + 300 + 7 + 77 + 224 + 5 + 7 + 44 = 666.

It is a super-2 number, since 2×23007772245744² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66304818979 + ... + 66304819325.

It is an arithmetic number, because the mean of its divisors is an integer number (56359575792).

Almost surely, 2^{23007772245744} is an apocalyptic number.

23007772245744 is a gapful number since it is divisible by the number (24) 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 23007772245744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40578894570240).

23007772245744 is an abundant number, since it is smaller than the sum of its proper divisors (58150016894736).

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

23007772245744 is a wasteful number, since it uses less digits than its factorization.

23007772245744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 18439680, while the sum is 54.

The spelling of 23007772245744 in words is "twenty-three trillion, seven billion, seven hundred seventy-two million, two hundred forty-five thousand, seven hundred forty-four".