47096762701392 has 400 divisors, whose sum is σ = 147197652742800. Its totient is φ = 14506119290880.

The previous prime is 47096762701361. The next prime is 47096762701397. The reversal of 47096762701392 is 29310726769074.

47096762701392 is a `hidden beast` number, since 4 + 70 + 96 + 76 + 27 + 0 + 1 + 392 = 666.

47096762701392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 446004922896 + 46650757778496 = 667836^2 + 6830136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47096762701397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84549484 + ... + 85104692.

It is an arithmetic number, because the mean of its divisors is an integer number (367994131857).

Almost surely, 2^{47096762701392} 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 47096762701392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73598826371400).

47096762701392 is an abundant number, since it is smaller than the sum of its proper divisors (100100890041408).

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

47096762701392 is a wasteful number, since it uses less digits than its factorization.

47096762701392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555356 (or 555341 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 47096762701392 in words is "forty-seven trillion, ninety-six billion, seven hundred sixty-two million, seven hundred one thousand, three hundred ninety-two".