47734533167328 has 3456 divisors, whose sum is σ = 188828178739200. Its totient is φ = 11761826807808.

The previous prime is 47734533167327. The next prime is 47734533167413. The reversal of 47734533167328 is 82376133543774.

47734533167328 is a `hidden beast` number, since 4 + 7 + 7 + 3 + 4 + 533 + 1 + 6 + 73 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47734533167323) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 422429497000 + ... + 422429497112.

It is an arithmetic number, because the mean of its divisors is an integer number (54637783200).

Almost surely, 2^{47734533167328} is an apocalyptic number.

47734533167328 is a gapful number since it is divisible by the number (48) 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 47734533167328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94414089369600).

47734533167328 is an abundant number, since it is smaller than the sum of its proper divisors (141093645571872).

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

47734533167328 is a wasteful number, since it uses less digits than its factorization.

47734533167328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 269 counting only the distinct ones).

The product of its digits is 213373440, while the sum is 63.

The spelling of 47734533167328 in words is "forty-seven trillion, seven hundred thirty-four billion, five hundred thirty-three million, one hundred sixty-seven thousand, three hundred twenty-eight".