46020449344 has 224 divisors, whose sum is σ = 100938055680. Its totient is φ = 20766412800.

The previous prime is 46020449297. The next prime is 46020449381. The reversal of 46020449344 is 44394402064.

It is a junction number, because it is equal to n+sod(n) for n = 46020449297 and 46020449306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206369617 + ... + 206369839.

It is an arithmetic number, because the mean of its divisors is an integer number (450616320).

Almost surely, 2^46020449344 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 46020449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50469027840).

46020449344 is an abundant number, since it is smaller than the sum of its proper divisors (54917606336).

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

46020449344 is a wasteful number, since it uses less digits than its factorization.

46020449344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 46020449344 in words is "forty-six billion, twenty million, four hundred forty-nine thousand, three hundred forty-four".