47933041464 has 960 divisors, whose sum is σ = 185921049600. Its totient is φ = 11365401600.

The previous prime is 47933041423. The next prime is 47933041487. The reversal of 47933041464 is 46414033974.

47933041464 is a `hidden beast` number, since 479 + 3 + 30 + 4 + 146 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 205721092 + ... + 205721324.

It is an arithmetic number, because the mean of its divisors is an integer number (193667760).

Almost surely, 2^47933041464 is an apocalyptic number.

47933041464 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 47933041464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92960524800).

47933041464 is an abundant number, since it is smaller than the sum of its proper divisors (137988008136).

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

47933041464 is a wasteful number, since it uses less digits than its factorization.

47933041464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 47933041464 in words is "forty-seven billion, nine hundred thirty-three million, forty-one thousand, four hundred sixty-four".