47968814322 has 270 divisors, whose sum is σ = 130575789981. Its totient is φ = 12711647520.

The previous prime is 47968814297. The next prime is 47968814339. The reversal of 47968814322 is 22341886974.

47968814322 is a `hidden beast` number, since 4 + 79 + 68 + 81 + 432 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41014755441 + 6954058881 = 202521^2 + 83391^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=154869.

Its product of digits (4644864) is a multiple of the sum of its prime divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2524674429 + ... + 2524674447.

Almost surely, 2^47968814322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47968814322

47968814322 is an abundant number, since it is smaller than the sum of its proper divisors (82606975659).

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

47968814322 is a wasteful number, since it uses less digits than its factorization.

47968814322 is an evil number, because the sum of its binary digits is even.

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

The product of its digits is 4644864, while the sum is 54.

The spelling of 47968814322 in words is "forty-seven billion, nine hundred sixty-eight million, eight hundred fourteen thousand, three hundred twenty-two".