43772271401664 has 336 divisors, whose sum is σ = 137539834810560. Its totient is φ = 13228838092800.

The previous prime is 43772271401627. The next prime is 43772271401671. The reversal of 43772271401664 is 46610417227734.

43772271401664 is a `hidden beast` number, since 4 + 3 + 7 + 7 + 227 + 1 + 401 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 43772271401664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100413744 + ... + 100848720.

It is an arithmetic number, because the mean of its divisors is an integer number (409344746460).

Almost surely, 2^{43772271401664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43772271401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68769917405280).

43772271401664 is an abundant number, since it is smaller than the sum of its proper divisors (93767563408896).

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

43772271401664 is a wasteful number, since it uses less digits than its factorization.

43772271401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435248 (or 435235 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 43772271401664 in words is "forty-three trillion, seven hundred seventy-two billion, two hundred seventy-one million, four hundred one thousand, six hundred sixty-four".