47945576448 has 936 divisors, whose sum is σ = 186455992320. Its totient is φ = 11705057280.

The previous prime is 47945576389. The next prime is 47945576453. The reversal of 47945576448 is 84467554974.

47945576448 is a `hidden beast` number, since 4 + 79 + 4 + 55 + 76 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 377524161 + ... + 377524287.

It is an arithmetic number, because the mean of its divisors is an integer number (199205120).

Almost surely, 2^47945576448 is an apocalyptic number.

47945576448 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 47945576448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93227996160).

47945576448 is an abundant number, since it is smaller than the sum of its proper divisors (138510415872).

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

47945576448 is a wasteful number, since it uses less digits than its factorization.

47945576448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 169 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 47945576448 in words is "forty-seven billion, nine hundred forty-five million, five hundred seventy-six thousand, four hundred forty-eight".