47632880389248 has 768 divisors, whose sum is σ = 181019494656000. Its totient is φ = 11639485071360.

The previous prime is 47632880389183. The next prime is 47632880389267. The reversal of 47632880389248 is 84298308823674.

47632880389248 is a `hidden beast` number, since 4 + 76 + 3 + 288 + 0 + 38 + 9 + 248 = 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4643028343 + ... + 4643038601.

It is an arithmetic number, because the mean of its divisors is an integer number (235702467000).

Almost surely, 2^{47632880389248} is an apocalyptic number.

47632880389248 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 47632880389248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90509747328000).

47632880389248 is an abundant number, since it is smaller than the sum of its proper divisors (133386614266752).

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

47632880389248 is a wasteful number, since it uses less digits than its factorization.

47632880389248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13393 (or 13378 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 47632880389248 in words is "forty-seven trillion, six hundred thirty-two billion, eight hundred eighty million, three hundred eighty-nine thousand, two hundred forty-eight".