46042430625 has 45 divisors (see below), whose sum is σ = 83134621999. Its totient is φ = 24547380000.

The previous prime is 46042430569. The next prime is 46042430647. The reversal of 46042430625 is 52603424064.

The square root of 46042430625 is 214575.

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

46042430625 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 24 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 33021794961 + 13020635664 = 181719^2 + 114108^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 46042430625 - 2⁹ = 46042430113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 46042430625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16091695 + ... + 16094555.

Almost surely, 2^46042430625 is an apocalyptic number.

46042430625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46042430625 is the 214575-th square number.

46042430625 is the 107288-th centered octagonal number.

It is an amenable number.

46042430625 is a deficient number, since it is larger than the sum of its proper divisors (37092191374).

46042430625 is an frugal number, since it uses more digits than its factorization.

46042430625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Multiplying 46042430625 by its sum of digits (36), we get a square (1657527502500 = 1287450²).

Adding to 46042430625 its reverse (52603424064), we get a palindrome (98645854689).

The spelling of 46042430625 in words is "forty-six billion, forty-two million, four hundred thirty thousand, six hundred twenty-five".