47436106904424 has 1280 divisors, whose sum is σ = 172336420800000. Its totient is φ = 12084563280384.

The previous prime is 47436106904393. The next prime is 47436106904437. The reversal of 47436106904424 is 42440960163474.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

47436106904424 is a `hidden beast` number, since 4 + 7 + 4 + 3 + 6 + 106 + 90 + 442 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 47436106904424 = 4522³ + 36176³ = 20349³ + 33915³.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2496637205487 + ... + 2496637205505.

It is an arithmetic number, because the mean of its divisors is an integer number (134637828750).

Almost surely, 2^{47436106904424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47436106904424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86168210400000).

47436106904424 is an abundant number, since it is smaller than the sum of its proper divisors (124900313895576).

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

47436106904424 is an frugal number, since it uses more digits than its factorization.

47436106904424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 47436106904424 in words is "forty-seven trillion, four hundred thirty-six billion, one hundred six million, nine hundred four thousand, four hundred twenty-four".