46402329744 has 135 divisors (see below), whose sum is σ = 134712120153. Its totient is φ = 14909956992.

The previous prime is 46402329709. The next prime is 46402329751. The reversal of 46402329744 is 44792320464.

The square root of 46402329744 is 215412.

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

46402329744 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., 24332256144 + 22070073600 = 155988^2 + 148560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46402329744.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74963067 + ... + 74963685.

Almost surely, 2^46402329744 is an apocalyptic number.

46402329744 is the 215412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46402329744

46402329744 is an abundant number, since it is smaller than the sum of its proper divisors (88309790409).

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

46402329744 is an equidigital number, since it uses as much as digits as its factorization.

46402329744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 46402329744 in words is "forty-six billion, four hundred two million, three hundred twenty-nine thousand, seven hundred forty-four".