48612122784 has 336 divisors, whose sum is σ = 149636115720. Its totient is φ = 15519651840.

The previous prime is 48612122749. The next prime is 48612122821. The reversal of 48612122784 is 48722121684.

48612122784 is a `hidden beast` number, since 4 + 8 + 612 + 1 + 2 + 27 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31563075600 + 17049047184 = 177660^2 + 130572^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 55 ways as a sum of consecutive naturals, for example, 122448474 + ... + 122448870.

Almost surely, 2^48612122784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48612122784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74818057860).

48612122784 is an abundant number, since it is smaller than the sum of its proper divisors (101023992936).

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

48612122784 is a wasteful number, since it uses less digits than its factorization.

48612122784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 612 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

It can be divided in two parts, 48612 and 122784, that added together give a square (171396 = 414²).

The spelling of 48612122784 in words is "forty-eight billion, six hundred twelve million, one hundred twenty-two thousand, seven hundred eighty-four".