48849405885225 has 81 divisors (see below), whose sum is σ = 96174145790359. Its totient is φ = 23684001290400.

The previous prime is 48849405885197. The next prime is 48849405885281. The reversal of 48849405885225 is 52258850494884.

The square root of 48849405885225 is 6989235.

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

48849405885225 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 9 + 40 + 58 + 8 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17585786118681 + 31263619766544 = 4193541^2 + 5591388^2 .

It is not a de Polignac number, because 48849405885225 - 2⁷ = 48849405885097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1153202596 + ... + 1153244954.

Almost surely, 2^{48849405885225} is an apocalyptic number.

48849405885225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48849405885225 is the 6989235-th square number.

48849405885225 is the 3494618-th centered octagonal number.

It is an amenable number.

48849405885225 is a deficient number, since it is larger than the sum of its proper divisors (47324739905134).

48849405885225 is an frugal number, since it uses more digits than its factorization.

48849405885225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84756 (or 42378 counting only the distinct ones).

The product of its (nonzero) digits is 1179648000, while the sum is 72.

The spelling of 48849405885225 in words is "forty-eight trillion, eight hundred forty-nine billion, four hundred five million, eight hundred eighty-five thousand, two hundred twenty-five".