23069357761968 has 360 divisors, whose sum is σ = 75454751211840. Its totient is φ = 6560429863680.

The previous prime is 23069357761963. The next prime is 23069357761981. The reversal of 23069357761968 is 86916775396032.

23069357761968 is a `hidden beast` number, since 2 + 30 + 6 + 9 + 3 + 577 + 6 + 19 + 6 + 8 = 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 = 23069357761896 and 23069357761905.

It is not an unprimeable number, because it can be changed into a prime (23069357761963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1600808683 + ... + 1600823093.

It is an arithmetic number, because the mean of its divisors is an integer number (209596531144).

Almost surely, 2^{23069357761968} is an apocalyptic number.

23069357761968 is a gapful number since it is divisible by the number (28) 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 23069357761968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37727375605920).

23069357761968 is an abundant number, since it is smaller than the sum of its proper divisors (52385393449872).

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

23069357761968 is a wasteful number, since it uses less digits than its factorization.

23069357761968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15485 (or 15469 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 23069357761968 in words is "twenty-three trillion, sixty-nine billion, three hundred fifty-seven million, seven hundred sixty-one thousand, nine hundred sixty-eight".