23253393408 has 448 divisors, whose sum is σ = 75492864000. Its totient is φ = 6226182144.

The previous prime is 23253393347. The next prime is 23253393439. The reversal of 23253393408 is 80439335232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 23253393408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294346713 + ... + 294346791.

Almost surely, 2^23253393408 is an apocalyptic number.

23253393408 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 23253393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37746432000).

23253393408 is an abundant number, since it is smaller than the sum of its proper divisors (52239470592).

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

23253393408 is an equidigital number, since it uses as much as digits as its factorization.

23253393408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 23253393408 in words is "twenty-three billion, two hundred fifty-three million, three hundred ninety-three thousand, four hundred eight".