47226816000 has 1920 divisors, whose sum is σ = 225854044416. Its totient is φ = 9201254400.

The previous prime is 47226815981. The next prime is 47226816029. The reversal of 47226816000 is 61862274.

47226816000 is a `hidden beast` number, since 47 + 2 + 2 + 6 + 8 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 891071974 + ... + 891072026.

Almost surely, 2^47226816000 is an apocalyptic number.

47226816000 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 47226816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112927022208).

47226816000 is an abundant number, since it is smaller than the sum of its proper divisors (178627228416).

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

47226816000 is a wasteful number, since it uses less digits than its factorization.

47226816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

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

The spelling of 47226816000 in words is "forty-seven billion, two hundred twenty-six million, eight hundred sixteen thousand".