24345985024 has 135 divisors (see below), whose sum is σ = 51877992313. Its totient is φ = 11424038912.

The previous prime is 24345984991. The next prime is 24345985031. The reversal of 24345985024 is 42058954342.

The square root of 24345985024 is 156032.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17550950400 + 6795034624 = 132480^2 + 82432^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 459358182 + ... + 459358234.

Almost surely, 2^24345985024 is an apocalyptic number.

24345985024 is the 156032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24345985024

24345985024 is an abundant number, since it is smaller than the sum of its proper divisors (27532007289).

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

24345985024 is an frugal number, since it uses more digits than its factorization.

24345985024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 24345985024 in words is "twenty-four billion, three hundred forty-five million, nine hundred eighty-five thousand, twenty-four".