47213846400 has 192 divisors, whose sum is σ = 177726660480. Its totient is φ = 10791720960.

The previous prime is 47213846399. The next prime is 47213846419. The reversal of 47213846400 is 464831274.

47213846400 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 (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284094 + ... + 418493.

It is an arithmetic number, because the mean of its divisors is an integer number (925659690).

Almost surely, 2^47213846400 is an apocalyptic number.

47213846400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47213846400 is an abundant number, since it is smaller than the sum of its proper divisors (130512814080).

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

47213846400 is a wasteful number, since it uses less digits than its factorization.

47213846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702621 (or 702604 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 47213846400 in words is "forty-seven billion, two hundred thirteen million, eight hundred forty-six thousand, four hundred".