48451247040249 has 27 divisors (see below), whose sum is σ = 71734989757327. Its totient is φ = 31512449349600.

The previous prime is 48451247040197. The next prime is 48451247040263. The reversal of 48451247040249 is 94204074215484.

The square root of 48451247040249 is 6960693.

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

48451247040249 is a `hidden beast` number, since 4 + 8 + 4 + 5 + 124 + 70 + 402 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2334652593849 + 46116594446400 = 1527957^2 + 6790920^2 .

It is not a de Polignac number, because 48451247040249 - 2⁹ = 48451247039737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 48451247040195 and 48451247040204.

It is not an unprimeable number, because it can be changed into a prime (48451247040349) 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, 856136944 + ... + 856193534.

Almost surely, 2^{48451247040249} is an apocalyptic number.

48451247040249 is the 6960693-rd square number.

48451247040249 is the 3480347-th centered octagonal number.

It is an amenable number.

48451247040249 is a deficient number, since it is larger than the sum of its proper divisors (23283742717078).

48451247040249 is an frugal number, since it uses more digits than its factorization.

48451247040249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113270 (or 56635 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 48451247040249 in words is "forty-eight trillion, four hundred fifty-one billion, two hundred forty-seven million, forty thousand, two hundred forty-nine".