47648498842560 has 1792 divisors, whose sum is σ = 203666404147200. Its totient is φ = 9159646003200.

The previous prime is 47648498842541. The next prime is 47648498842643. The reversal of 47648498842560 is 6524889484674.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27880922986 + ... + 27880924694.

Almost surely, 2^{47648498842560} is an apocalyptic number.

47648498842560 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 47648498842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101833202073600).

47648498842560 is an abundant number, since it is smaller than the sum of its proper divisors (156017905304640).

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

47648498842560 is a wasteful number, since it uses less digits than its factorization.

47648498842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 2972712960, while the sum is 75.

The spelling of 47648498842560 in words is "forty-seven trillion, six hundred forty-eight billion, four hundred ninety-eight million, eight hundred forty-two thousand, five hundred sixty".