23289672896064 has 448 divisors, whose sum is σ = 73471340666880. Its totient is φ = 7208672993280.

The previous prime is 23289672896029. The next prime is 23289672896093. The reversal of 23289672896064 is 46069827698232.

23289672896064 is a `hidden beast` number, since 2 + 3 + 2 + 8 + 9 + 6 + 7 + 2 + 8 + 9 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 23289672895983 and 23289672896001.

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 63 ways as a sum of consecutive naturals, for example, 819958087 + ... + 819986489.

Almost surely, 2^{23289672896064} is an apocalyptic number.

23289672896064 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 23289672896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36735670333440).

23289672896064 is an abundant number, since it is smaller than the sum of its proper divisors (50181667770816).

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

23289672896064 is a wasteful number, since it uses less digits than its factorization.

23289672896064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28815 (or 28799 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 23289672896064 in words is "twenty-three trillion, two hundred eighty-nine billion, six hundred seventy-two million, eight hundred ninety-six thousand, sixty-four".