49486671936 has 567 divisors, whose sum is σ = 165909992157. Its totient is φ = 14094812160.

The previous prime is 49486671889. The next prime is 49486671947. The reversal of 49486671936 is 63917668494.

The square root of 49486671936 is 222456.

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

49486671936 is a `hidden beast` number, since 4 + 9 + 486 + 67 + 1 + 93 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7320513600 + 42166158336 = 85560^2 + 205344^2 .

Its product of digits (47029248) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1596344241 + ... + 1596344271.

Almost surely, 2^49486671936 is an apocalyptic number.

49486671936 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

49486671936 is the 222456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49486671936

49486671936 is an abundant number, since it is smaller than the sum of its proper divisors (116423320221).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49486671936 is a wasteful number, since it uses less digits than its factorization.

49486671936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 72 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 49486671936 in words is "forty-nine billion, four hundred eighty-six million, six hundred seventy-one thousand, nine hundred thirty-six".