47347511904 has 672 divisors, whose sum is σ = 178588295424. Its totient is φ = 11992458240.

The previous prime is 47347511881. The next prime is 47347511917. The reversal of 47347511904 is 40911574374.

It is a happy number.

47347511904 is a `hidden beast` number, since 4 + 7 + 3 + 47 + 511 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 47347511904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 77238702 + ... + 77239314.

It is an arithmetic number, because the mean of its divisors is an integer number (265756392).

Almost surely, 2^47347511904 is an apocalyptic number.

47347511904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47347511904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89294147712).

47347511904 is an abundant number, since it is smaller than the sum of its proper divisors (131240783520).

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

47347511904 is a wasteful number, since it uses less digits than its factorization.

47347511904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 47347511904 in words is "forty-seven billion, three hundred forty-seven million, five hundred eleven thousand, nine hundred four".