47381664 has 72 divisors (see below), whose sum is σ = 136745280. Its totient is φ = 14354560.

The previous prime is 47381651. The next prime is 47381683. The reversal of 47381664 is 46618374.

47381664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9577 + ... + 13655.

It is an arithmetic number, because the mean of its divisors is an integer number (1899240).

Almost surely, 2^47381664 is an apocalyptic number.

47381664 is a gapful number since it is divisible by the number (44) 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 47381664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68372640).

47381664 is an abundant number, since it is smaller than the sum of its proper divisors (89363616).

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

47381664 is a wasteful number, since it uses less digits than its factorization.

47381664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4095 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 47381664 is about 6883.4340267050. The cubic root of 47381664 is about 361.8568260565.

The spelling of 47381664 in words is "forty-seven million, three hundred eighty-one thousand, six hundred sixty-four".