46882147871328 has 1152 divisors, whose sum is σ = 167485957632000. Its totient is φ = 11124059443200.

The previous prime is 46882147871327. The next prime is 46882147871329. The reversal of 46882147871328 is 82317874128864.

It is an interprime number because it is at equal distance from previous prime (46882147871327) and next prime (46882147871329).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46882147871327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56552650818 + ... + 56552651646.

It is an arithmetic number, because the mean of its divisors is an integer number (145387116000).

Almost surely, 2^{46882147871328} is an apocalyptic number.

46882147871328 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 46882147871328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83742978816000).

46882147871328 is an abundant number, since it is smaller than the sum of its proper divisors (120603809760672).

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

46882147871328 is a wasteful number, since it uses less digits than its factorization.

46882147871328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1321 counting only the distinct ones).

The product of its digits is 231211008, while the sum is 69.

The spelling of 46882147871328 in words is "forty-six trillion, eight hundred eighty-two billion, one hundred forty-seven million, eight hundred seventy-one thousand, three hundred twenty-eight".