48982099761 has 63 divisors (see below), whose sum is σ = 85502702313. Its totient is φ = 27965868840.

The previous prime is 48982099739. The next prime is 48982099811. The reversal of 48982099761 is 16799028984.

The square root of 48982099761 is 221319.

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

48982099761 is a `hidden beast` number, since 489 + 8 + 2 + 0 + 9 + 97 + 61 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 48982099761 - 2⁵ = 48982099729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (48982099261) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 41828706 + ... + 41829876.

It is an arithmetic number, because the mean of its divisors is an integer number (1357185751).

Almost surely, 2^48982099761 is an apocalyptic number.

48982099761 is the 221319-th square number.

48982099761 is the 110660-th centered octagonal number.

It is an amenable number.

48982099761 is a deficient number, since it is larger than the sum of its proper divisors (36520602552).

48982099761 is an frugal number, since it uses more digits than its factorization.

48982099761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 48982099761 in words is "forty-eight billion, nine hundred eighty-two million, ninety-nine thousand, seven hundred sixty-one".