24967840349089 has 9 divisors (see below), whose sum is σ = 27444050220979. Its totient is φ = 22697986713160.

The previous prime is 24967840349087. The next prime is 24967840349119. The reversal of 24967840349089 is 98094304876942.

The square root of 24967840349089 is 4996783.

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., 16802579819025 + 8165260530064 = 4099095^2 + 2857492^2 .

It is not a de Polignac number, because 24967840349089 - 2¹ = 24967840349087 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24967840349087) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54737487 + ... + 55191739.

Almost surely, 2^{24967840349089} is an apocalyptic number.

24967840349089 is the 4996783-rd square number.

24967840349089 is the 2498392-nd centered octagonal number.

It is an amenable number.

24967840349089 is a deficient number, since it is larger than the sum of its proper divisors (2476209871890).

24967840349089 is an frugal number, since it uses more digits than its factorization.

24967840349089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908528 (or 454264 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 73.

The spelling of 24967840349089 in words is "twenty-four trillion, nine hundred sixty-seven billion, eight hundred forty million, three hundred forty-nine thousand, eighty-nine".