48932979264 has 189 divisors, whose sum is σ = 152091033003. Its totient is φ = 15035065344.

The previous prime is 48932979217. The next prime is 48932979287. The reversal of 48932979264 is 46297923984.

The square root of 48932979264 is 221208.

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

48932979264 is a `hidden beast` number, since 4 + 89 + 3 + 297 + 9 + 264 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25281000000 + 23651979264 = 159000^2 + 153792^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69016542 + ... + 69017250.

Almost surely, 2^48932979264 is an apocalyptic number.

48932979264 is the 221208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48932979264

48932979264 is an abundant number, since it is smaller than the sum of its proper divisors (103158053739).

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

48932979264 is an equidigital number, since it uses as much as digits as its factorization.

48932979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 727 counting only the distinct ones).

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

It can be divided in two parts, 48932 and 979264, that added together give a square (1028196 = 1014²).

The spelling of 48932979264 in words is "forty-eight billion, nine hundred thirty-two million, nine hundred seventy-nine thousand, two hundred sixty-four".