46082350224 has 225 divisors, whose sum is σ = 136934482377. Its totient is φ = 14961500928.

The previous prime is 46082350147. The next prime is 46082350241. The reversal of 46082350224 is 42205328064.

The square root of 46082350224 is 214668.

It is a perfect power (a square), and thus also a powerful number.

46082350224 is a `hidden beast` number, since 4 + 6 + 0 + 82 + 350 + 224 = 666.

46082350224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8848788624 + 37233561600 = 94068^2 + 192960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 517779172 + ... + 517779260.

Almost surely, 2^46082350224 is an apocalyptic number.

46082350224 is the 214668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46082350224

46082350224 is an abundant number, since it is smaller than the sum of its proper divisors (90852132153).

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

46082350224 is an frugal number, since it uses more digits than its factorization.

46082350224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Multiplying 46082350224 by its sum of digits (36), we get a square (1658964608064 = 1288008²).

46082350224 divided by its sum of digits (36) gives a square (1280065284 = 35778²).

Adding to 46082350224 its reverse (42205328064), we get a palindrome (88287678288).

The spelling of 46082350224 in words is "forty-six billion, eighty-two million, three hundred fifty thousand, two hundred twenty-four".