47919078144 has 288 divisors, whose sum is σ = 164179312640. Its totient is φ = 13502619648.

The previous prime is 47919078121. The next prime is 47919078157. The reversal of 47919078144 is 44187091974.

47919078144 is a `hidden beast` number, since 479 + 1 + 90 + 7 + 81 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3525249 + ... + 3538815.

Almost surely, 2^47919078144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47919078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82089656320).

47919078144 is an abundant number, since it is smaller than the sum of its proper divisors (116260234496).

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

47919078144 is a wasteful number, since it uses less digits than its factorization.

47919078144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13672 (or 13652 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 47919078144 in words is "forty-seven billion, nine hundred nineteen million, seventy-eight thousand, one hundred forty-four".