23001197313864 has 768 divisors, whose sum is σ = 74380239360000. Its totient is φ = 5800090982400.

The previous prime is 23001197313863. The next prime is 23001197313901. The reversal of 23001197313864 is 46831379110032.

It is a happy number.

It is a super-2 number, since 2×23001197313864² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23001197313863) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38399327437 + ... + 38399328035.

It is an arithmetic number, because the mean of its divisors is an integer number (96849270000).

Almost surely, 2^{23001197313864} is an apocalyptic number.

23001197313864 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 23001197313864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37190119680000).

23001197313864 is an abundant number, since it is smaller than the sum of its proper divisors (51379042046136).

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

23001197313864 is a wasteful number, since it uses less digits than its factorization.

23001197313864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 23001197313864 in words is "twenty-three trillion, one billion, one hundred ninety-seven million, three hundred thirteen thousand, eight hundred sixty-four".