46152788224 has 81 divisors (see below), whose sum is σ = 95618086473. Its totient is φ = 22232534016.

The previous prime is 46152788219. The next prime is 46152788237. The reversal of 46152788224 is 42288725164.

The square root of 46152788224 is 214832.

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

46152788224 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., 24201402624 + 21951385600 = 155568^2 + 148160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99681817 + ... + 99682279.

Almost surely, 2^46152788224 is an apocalyptic number.

46152788224 is the 214832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46152788224

46152788224 is an abundant number, since it is smaller than the sum of its proper divisors (49465298249).

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

46152788224 is an frugal number, since it uses more digits than its factorization.

46152788224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 494 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 49.

Multiplying 46152788224 by its sum of digits (49), we get a square (2261486622976 = 1503824²).

The spelling of 46152788224 in words is "forty-six billion, one hundred fifty-two million, seven hundred eighty-eight thousand, two hundred twenty-four".