23893852954464 has 240 divisors, whose sum is σ = 72558801254016. Its totient is φ = 7705481011200.

The previous prime is 23893852954427. The next prime is 23893852954469. The reversal of 23893852954464 is 46445925839832.

23893852954464 is a `hidden beast` number, since 2 + 3 + 8 + 9 + 3 + 8 + 529 + 54 + 46 + 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 = 23893852954392 and 23893852954401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23893852954469) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 292199344 + ... + 292281104.

Almost surely, 2^{23893852954464} is an apocalyptic number.

23893852954464 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 23893852954464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36279400627008).

23893852954464 is an abundant number, since it is smaller than the sum of its proper divisors (48664948299552).

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

23893852954464 is a wasteful number, since it uses less digits than its factorization.

23893852954464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85451 (or 85434 counting only the distinct ones).

The product of its digits is 1791590400, while the sum is 72.

The spelling of 23893852954464 in words is "twenty-three trillion, eight hundred ninety-three billion, eight hundred fifty-two million, nine hundred fifty-four thousand, four hundred sixty-four".