47932182144 has 384 divisors, whose sum is σ = 177521909760. Its totient is φ = 12047616000.

The previous prime is 47932182127. The next prime is 47932182149. The reversal of 47932182144 is 44128123974.

47932182144 is a `hidden beast` number, since 479 + 32 + 1 + 8 + 2 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×47932182144³ (a number of 33 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 47932182144.

It is not an unprimeable number, because it can be changed into a prime (47932182149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741109 + ... + 2758539.

It is an arithmetic number, because the mean of its divisors is an integer number (462296640).

Almost surely, 2^47932182144 is an apocalyptic number.

47932182144 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 47932182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88760954880).

47932182144 is an abundant number, since it is smaller than the sum of its proper divisors (129589727616).

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

47932182144 is a wasteful number, since it uses less digits than its factorization.

47932182144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17500 (or 17485 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 47932182144 in words is "forty-seven billion, nine hundred thirty-two million, one hundred eighty-two thousand, one hundred forty-four".