57981268849 has 27 divisors (see below), whose sum is σ = 69215282571. Its totient is φ = 48428288160.

The previous prime is 57981268831. The next prime is 57981268867. The reversal of 57981268849 is 94886218975.

The square root of 57981268849 is 240793.

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

It is an interprime number because it is at equal distance from previous prime (57981268831) and next prime (57981268867).

It can be written as a sum of positive squares in only one way, i.e., 2793862449 + 55187406400 = 52857^2 + 234920^2 .

It is not a de Polignac number, because 57981268849 - 2⁵ = 57981268817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57981268649) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69107172 + ... + 69108010.

Almost surely, 2^57981268849 is an apocalyptic number.

57981268849 is the 240793-rd square number.

57981268849 is the 120397-th centered octagonal number.

It is an amenable number.

57981268849 is a deficient number, since it is larger than the sum of its proper divisors (11234013722).

57981268849 is an frugal number, since it uses more digits than its factorization.

57981268849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 887 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 67.

The spelling of 57981268849 in words is "fifty-seven billion, nine hundred eighty-one million, two hundred sixty-eight thousand, eight hundred forty-nine".