23863281426432 has 672 divisors, whose sum is σ = 82123911821952. Its totient is φ = 6782690525184.

The previous prime is 23863281426427. The next prime is 23863281426437. The reversal of 23863281426432 is 23462418236832.

23863281426432 is a `hidden beast` number, since 2 + 3 + 8 + 63 + 2 + 8 + 142 + 6 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (23863281426427) and next prime (23863281426437).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23863281426437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2745110278 + ... + 2745118970.

It is an arithmetic number, because the mean of its divisors is an integer number (122208202116).

Almost surely, 2^{23863281426432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23863281426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41061955910976).

23863281426432 is an abundant number, since it is smaller than the sum of its proper divisors (58260630395520).

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

23863281426432 is an frugal number, since it uses more digits than its factorization.

23863281426432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8938 (or 8902 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 54.

The spelling of 23863281426432 in words is "twenty-three trillion, eight hundred sixty-three billion, two hundred eighty-one million, four hundred twenty-six thousand, four hundred thirty-two".