46015363144224 has 288 divisors, whose sum is σ = 133011188069760. Its totient is φ = 15088474054656.

The previous prime is 46015363144183. The next prime is 46015363144243. The reversal of 46015363144224 is 42244136351064.

46015363144224 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 5 + 3 + 631 + 4 + 4 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 46015363144224.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2119243192 + ... + 2119264904.

It is an arithmetic number, because the mean of its divisors is an integer number (461844403020).

Almost surely, 2^{46015363144224} 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 46015363144224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66505594034880).

46015363144224 is an abundant number, since it is smaller than the sum of its proper divisors (86995824925536).

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

46015363144224 is a wasteful number, since it uses less digits than its factorization.

46015363144224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22352 (or 22341 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

Adding to 46015363144224 its reverse (42244136351064), we get a palindrome (88259499495288).

The spelling of 46015363144224 in words is "forty-six trillion, fifteen billion, three hundred sixty-three million, one hundred forty-four thousand, two hundred twenty-four".