47146530816000 has 2400 divisors, whose sum is σ = 219219698041344. Its totient is φ = 9794027520000.

The previous prime is 47146530815977. The next prime is 47146530816001. The reversal of 47146530816000 is 61803564174.

47146530816000 is a `hidden beast` number, since 4 + 7 + 1 + 4 + 6 + 5 + 30 + 8 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47146530816001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12773374155 + ... + 12773377845.

Almost surely, 2^{47146530816000} is an apocalyptic number.

47146530816000 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 47146530816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109609849020672).

47146530816000 is an abundant number, since it is smaller than the sum of its proper divisors (172073167225344).

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

47146530816000 is an equidigital number, since it uses as much as digits as its factorization.

47146530816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3719 counting only the distinct ones).

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

The spelling of 47146530816000 in words is "forty-seven trillion, one hundred forty-six billion, five hundred thirty million, eight hundred sixteen thousand".