47156384200320 has 896 divisors, whose sum is σ = 179210141772480. Its totient is φ = 11819121868800.

The previous prime is 47156384200301. The next prime is 47156384200417. The reversal of 47156384200320 is 2300248365174.

47156384200320 is a `hidden beast` number, since 4 + 7 + 1 + 5 + 638 + 4 + 2 + 0 + 0 + 3 + 2 + 0 = 666.

47156384200320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6432459055 + ... + 6432466385.

Almost surely, 2^{47156384200320} is an apocalyptic number.

47156384200320 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 47156384200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89605070886240).

47156384200320 is an abundant number, since it is smaller than the sum of its proper divisors (132053757572160).

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

47156384200320 is an equidigital number, since it uses as much as digits as its factorization.

47156384200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8196 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 47156384200320 in words is "forty-seven trillion, one hundred fifty-six billion, three hundred eighty-four million, two hundred thousand, three hundred twenty".