23545242624 has 352 divisors, whose sum is σ = 71274902400. Its totient is φ = 6865551360.

The previous prime is 23545242613. The next prime is 23545242649. The reversal of 23545242624 is 42624254532.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60527422 + ... + 60527810.

Almost surely, 2^23545242624 is an apocalyptic number.

23545242624 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 23545242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35637451200).

23545242624 is an abundant number, since it is smaller than the sum of its proper divisors (47729659776).

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

23545242624 is a wasteful number, since it uses less digits than its factorization.

23545242624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 491 counting only the distinct ones).

The product of its digits is 460800, while the sum is 39.

The spelling of 23545242624 in words is "twenty-three billion, five hundred forty-five million, two hundred forty-two thousand, six hundred twenty-four".