47882148249600 has 1512 divisors, whose sum is σ = 199050164418560. Its totient is φ = 10776509153280.

The previous prime is 47882148249589. The next prime is 47882148249643. The reversal of 47882148249600 is 694284128874.

47882148249600 is a `hidden beast` number, since 4 + 7 + 8 + 8 + 2 + 14 + 8 + 2 + 4 + 9 + 600 = 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, 130469068617 + ... + 130469068983.

Almost surely, 2^{47882148249600} is an apocalyptic number.

47882148249600 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 47882148249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99525082209280).

47882148249600 is an abundant number, since it is smaller than the sum of its proper divisors (151168016168960).

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

47882148249600 is an frugal number, since it uses more digits than its factorization.

47882148249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 47882148249600 in words is "forty-seven trillion, eight hundred eighty-two billion, one hundred forty-eight million, two hundred forty-nine thousand, six hundred".