23249288286432 has 288 divisors, whose sum is σ = 72233818675200. Its totient is φ = 7050009747456.

The previous prime is 23249288286431. The next prime is 23249288286487. The reversal of 23249288286432 is 23468288294232.

It is a happy number.

23249288286432 is a `hidden beast` number, since 2 + 3 + 2 + 49 + 2 + 8 + 82 + 86 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23249288286432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23249288286431) 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, 349532794 + ... + 349599302.

It is an arithmetic number, because the mean of its divisors is an integer number (250811870400).

Almost surely, 2^{23249288286432} 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 23249288286432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36116909337600).

23249288286432 is an abundant number, since it is smaller than the sum of its proper divisors (48984530388768).

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

23249288286432 is a wasteful number, since it uses less digits than its factorization.

23249288286432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67890 (or 67879 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 63.

The spelling of 23249288286432 in words is "twenty-three trillion, two hundred forty-nine billion, two hundred eighty-eight million, two hundred eighty-six thousand, four hundred thirty-two".