47418184080 has 360 divisors, whose sum is σ = 168186862584. Its totient is φ = 12429158400.

The previous prime is 47418184007. The next prime is 47418184087. The reversal of 47418184080 is 8048181474.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12702096 + 47405481984 = 3564^2 + 217728^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47418184087) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32016940 + ... + 32018420.

Almost surely, 2^47418184080 is an apocalyptic number.

47418184080 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 47418184080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84093431292).

47418184080 is an abundant number, since it is smaller than the sum of its proper divisors (120768678504).

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

47418184080 is an equidigital number, since it uses as much as digits as its factorization.

47418184080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 47418184080 in words is "forty-seven billion, four hundred eighteen million, one hundred eighty-four thousand, eighty".