47913937344 has 1344 divisors, whose sum is σ = 194584320000. Its totient is φ = 11412430848.

The previous prime is 47913937333. The next prime is 47913937367. The reversal of 47913937344 is 44373931974.

47913937344 is a `hidden beast` number, since 479 + 13 + 93 + 73 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 606505497 + ... + 606505575.

It is an arithmetic number, because the mean of its divisors is an integer number (144780000).

Almost surely, 2^47913937344 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 47913937344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97292160000).

47913937344 is an abundant number, since it is smaller than the sum of its proper divisors (146670382656).

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

47913937344 is a wasteful number, since it uses less digits than its factorization.

47913937344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The spelling of 47913937344 in words is "forty-seven billion, nine hundred thirteen million, nine hundred thirty-seven thousand, three hundred forty-four".