47046164480 has 512 divisors, whose sum is σ = 144952934400. Its totient is φ = 14269022208.

The previous prime is 47046164471. The next prime is 47046164489. The reversal of 47046164480 is 8446164074.

It is an interprime number because it is at equal distance from previous prime (47046164471) and next prime (47046164489).

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47046164489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370442177 + ... + 370442303.

It is an arithmetic number, because the mean of its divisors is an integer number (283111200).

Almost surely, 2^47046164480 is an apocalyptic number.

47046164480 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 47046164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72476467200).

47046164480 is an abundant number, since it is smaller than the sum of its proper divisors (97906769920).

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

47046164480 is a wasteful number, since it uses less digits than its factorization.

47046164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The spelling of 47046164480 in words is "forty-seven billion, forty-six million, one hundred sixty-four thousand, four hundred eighty".