48425161874761 has 81 divisors (see below), whose sum is σ = 58787857531143. Its totient is φ = 39772155759840.

The previous prime is 48425161874707. The next prime is 48425161874767. The reversal of 48425161874761 is 16747816152484.

The square root of 48425161874761 is 6958819.

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., 1574696207161 + 46850465667600 = 1254869^2 + 6844740^2 .

It is not a de Polignac number, because 48425161874761 - 2⁹ = 48425161874249 is a prime.

Its product of digits (72253440) is a multiple of the sum of its prime divisors (490).

It is a junction number, because it is equal to n+sod(n) for n = 48425161874693 and 48425161874702.

It is not an unprimeable number, because it can be changed into a prime (48425161874767) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 127770875470 + ... + 127770875848.

It is an arithmetic number, because the mean of its divisors is an integer number (725776018903).

Almost surely, 2^{48425161874761} is an apocalyptic number.

48425161874761 is the 6958819-th square number.

48425161874761 is the 3479410-th centered octagonal number.

It is an amenable number.

48425161874761 is a deficient number, since it is larger than the sum of its proper divisors (10362695656382).

48425161874761 is an frugal number, since it uses more digits than its factorization.

48425161874761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 490 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 64.

The spelling of 48425161874761 in words is "forty-eight trillion, four hundred twenty-five billion, one hundred sixty-one million, eight hundred seventy-four thousand, seven hundred sixty-one".