47148648960 has 640 divisors, whose sum is σ = 187302297600. Its totient is φ = 9873653760.

The previous prime is 47148648959. The next prime is 47148648961. The reversal of 47148648960 is 6984684174.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47148648959) and next prime (47148648961).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 47148648960.

It is not an unprimeable number, because it can be changed into a prime (47148648961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31663896 + ... + 31665384.

It is an arithmetic number, because the mean of its divisors is an integer number (292659840).

Almost surely, 2^47148648960 is an apocalyptic number.

47148648960 is a gapful number since it is divisible by the number (40) 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 47148648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93651148800).

47148648960 is an abundant number, since it is smaller than the sum of its proper divisors (140153648640).

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

47148648960 is a wasteful number, since it uses less digits than its factorization.

47148648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 47148648960 in words is "forty-seven billion, one hundred forty-eight million, six hundred forty-eight thousand, nine hundred sixty".