47295090414 has 288 divisors, whose sum is σ = 130085699328. Its totient is φ = 12265344000.

The previous prime is 47295090413. The next prime is 47295090433. The reversal of 47295090414 is 41409059274.

47295090414 is a `hidden beast` number, since 472 + 9 + 50 + 90 + 41 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 47295090414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47295090413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40388049 + ... + 40389219.

It is an arithmetic number, because the mean of its divisors is an integer number (451686456).

Almost surely, 2^47295090414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47295090414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65042849664).

47295090414 is an abundant number, since it is smaller than the sum of its proper divisors (82790608914).

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

47295090414 is a wasteful number, since it uses less digits than its factorization.

47295090414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 47295090414 in words is "forty-seven billion, two hundred ninety-five million, ninety thousand, four hundred fourteen".