47953100448 has 432 divisors, whose sum is σ = 162002786400. Its totient is φ = 13306291200.

The previous prime is 47953100411. The next prime is 47953100471. The reversal of 47953100448 is 84400135974.

47953100448 is a `hidden beast` number, since 4 + 79 + 531 + 0 + 0 + 4 + 48 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57844098 + ... + 57844926.

It is an arithmetic number, because the mean of its divisors is an integer number (375006450).

Almost surely, 2^47953100448 is an apocalyptic number.

47953100448 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 47953100448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81001393200).

47953100448 is an abundant number, since it is smaller than the sum of its proper divisors (114049685952).

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

47953100448 is a wasteful number, since it uses less digits than its factorization.

47953100448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 47953100448 in words is "forty-seven billion, nine hundred fifty-three million, one hundred thousand, four hundred forty-eight".