48244026507264 has 1701 divisors, whose sum is σ = 181765418613597. Its totient is φ = 12290384461824.

The previous prime is 48244026507251. The next prime is 48244026507307. The reversal of 48244026507264 is 46270562044284.

The square root of 48244026507264 is 6945792.

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

48244026507264 is a `hidden beast` number, since 4 + 8 + 2 + 440 + 26 + 50 + 72 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37560228249600 + 10683798257664 = 6128640^2 + 3268608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48244026507264.

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 80 ways as a sum of consecutive naturals, for example, 2539159289847 + ... + 2539159289865.

Almost surely, 2^{48244026507264} is an apocalyptic number.

48244026507264 is the 6945792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48244026507264

48244026507264 is an abundant number, since it is smaller than the sum of its proper divisors (133521392106333).

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

48244026507264 is an frugal number, since it uses more digits than its factorization.

48244026507264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 48244026507264 in words is "forty-eight trillion, two hundred forty-four billion, twenty-six million, five hundred seven thousand, two hundred sixty-four".