46084306000 has 80 divisors (see below), whose sum is σ = 115274474640. Its totient is φ = 17798054400.

The previous prime is 46084305979. The next prime is 46084306001. The reversal of 46084306000 is 60348064.

46084306000 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 8 ways, for example, as 2391601216 + 43692704784 = 48904^2 + 209028^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46084306001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339279 + ... + 455278.

It is an arithmetic number, because the mean of its divisors is an integer number (1440930933).

Almost surely, 2^46084306000 is an apocalyptic number.

46084306000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46084306000 is an abundant number, since it is smaller than the sum of its proper divisors (69190168640).

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

46084306000 is a wasteful number, since it uses less digits than its factorization.

46084306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794609 (or 794593 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 46084306000 in words is "forty-six billion, eighty-four million, three hundred six thousand".