47321614080000 has 1440 divisors, whose sum is σ = 189876376609920. Its totient is φ = 11271536640000.

The previous prime is 47321614079963. The next prime is 47321614080053. The reversal of 47321614080000 is 8041612374.

47321614080000 is a `hidden beast` number, since 4 + 7 + 32 + 1 + 614 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

47321614080000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 4642554904 + ... + 4642565096.

It is an arithmetic number, because the mean of its divisors is an integer number (131858594868).

Almost surely, 2^{47321614080000} is an apocalyptic number.

47321614080000 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 47321614080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94938188304960).

47321614080000 is an abundant number, since it is smaller than the sum of its proper divisors (142554762529920).

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

47321614080000 is a wasteful number, since it uses less digits than its factorization.

47321614080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10285 (or 10247 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 47321614080000 its reverse (8041612374), we get a palindrome (47329655692374).

The spelling of 47321614080000 in words is "forty-seven trillion, three hundred twenty-one billion, six hundred fourteen million, eighty thousand".