47338945920 has 384 divisors, whose sum is σ = 194946186240. Its totient is φ = 10349678592.

The previous prime is 47338945919. The next prime is 47338945921. The reversal of 47338945920 is 2954983374.

47338945920 is a `hidden beast` number, since 47 + 3 + 3 + 8 + 9 + 4 + 592 + 0 = 666.

47338945920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47338945919) and next prime (47338945921).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47338945921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901837 + ... + 952883.

It is an arithmetic number, because the mean of its divisors is an integer number (507672360).

Almost surely, 2^47338945920 is an apocalyptic number.

47338945920 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 47338945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97473093120).

47338945920 is an abundant number, since it is smaller than the sum of its proper divisors (147607240320).

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

47338945920 is a wasteful number, since it uses less digits than its factorization.

47338945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51102 (or 51087 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 47338945920 in words is "forty-seven billion, three hundred thirty-eight million, nine hundred forty-five thousand, nine hundred twenty".