47928916186128 has 720 divisors, whose sum is σ = 149298924078720. Its totient is φ = 14323669696512.

The previous prime is 47928916186009. The next prime is 47928916186159. The reversal of 47928916186128 is 82168161982974.

47928916186128 is a `hidden beast` number, since 47 + 9 + 289 + 1 + 6 + 186 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 52843347051 + ... + 52843347957.

It is an arithmetic number, because the mean of its divisors is an integer number (207359616776).

Almost surely, 2^{47928916186128} is an apocalyptic number.

47928916186128 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 47928916186128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74649462039360).

47928916186128 is an abundant number, since it is smaller than the sum of its proper divisors (101370007892592).

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

47928916186128 is a wasteful number, since it uses less digits than its factorization.

47928916186128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1376 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 72.

The spelling of 47928916186128 in words is "forty-seven trillion, nine hundred twenty-eight billion, nine hundred sixteen million, one hundred eighty-six thousand, one hundred twenty-eight".