47010461681664 has 1680 divisors, whose sum is σ = 166819830968700. Its totient is φ = 13144444895232.

The previous prime is 47010461681641. The next prime is 47010461681671. The reversal of 47010461681664 is 46618616401074.

47010461681664 is a `hidden beast` number, since 4 + 7 + 0 + 1 + 0 + 4 + 616 + 8 + 16 + 6 + 4 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 7393004504064 + 39617457177600 = 2719008^2 + 6294240^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 47010461681664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1621050402802 + ... + 1621050402830.

Almost surely, 2^{47010461681664} 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 47010461681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83409915484350).

47010461681664 is an abundant number, since it is smaller than the sum of its proper divisors (119809369287036).

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

47010461681664 is an frugal number, since it uses more digits than its factorization.

47010461681664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 64 counting only the distinct ones).

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

The spelling of 47010461681664 in words is "forty-seven trillion, ten billion, four hundred sixty-one million, six hundred eighty-one thousand, six hundred sixty-four".