254678687649 has 21 divisors (see below), whose sum is σ = 381863785089. Its totient is φ = 169776707940.

The previous prime is 254678687639. The next prime is 254678687663. The reversal of 254678687649 is 946786876452.

The square root of 254678687649 is 504657.

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

254678687649 is a `hidden beast` number, since 2 + 5 + 467 + 86 + 87 + 6 + 4 + 9 = 666.

It is not a de Polignac number, because 254678687649 - 2¹³ = 254678679457 is a prime.

It is a super-2 number, since 2×254678687649² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (254678687639) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 13616394 + ... + 13635084.

Almost surely, 2^254678687649 is an apocalyptic number.

254678687649 is the 504657-th square number.

254678687649 is the 252329-th centered octagonal number.

It is an amenable number.

254678687649 is a deficient number, since it is larger than the sum of its proper divisors (127185097440).

254678687649 is an frugal number, since it uses more digits than its factorization.

254678687649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37400 (or 18694 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 254678687649 in words is "two hundred fifty-four billion, six hundred seventy-eight million, six hundred eighty-seven thousand, six hundred forty-nine".