47958012144 has 200 divisors, whose sum is σ = 162324074880. Its totient is φ = 13383522432.

The previous prime is 47958012143. The next prime is 47958012173. The reversal of 47958012144 is 44121085974.

47958012144 is a `hidden beast` number, since 4 + 7 + 9 + 580 + 1 + 21 + 44 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 47958012144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47958012143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 328627 + ... + 451565.

Almost surely, 2^47958012144 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 47958012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81162037440).

47958012144 is an abundant number, since it is smaller than the sum of its proper divisors (114366062736).

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

47958012144 is a wasteful number, since it uses less digits than its factorization.

47958012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123009 (or 122994 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 47958012144 in words is "forty-seven billion, nine hundred fifty-eight million, twelve thousand, one hundred forty-four".