438145938900 has 54 divisors (see below), whose sum is σ = 1373344106862. Its totient is φ = 116838916800.

The previous prime is 438145938889. The next prime is 438145938907. The reversal of 438145938900 is 9839541834.

438145938900 is a `hidden beast` number, since 4 + 38 + 14 + 593 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1166768964 + 436979169936 = 34158^2 + 661044^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438145938907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 243413511 + ... + 243415310.

Almost surely, 2^438145938900 is an apocalyptic number.

It is an amenable number.

438145938900 is an abundant number, since it is smaller than the sum of its proper divisors (935198167962).

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

438145938900 is a wasteful number, since it uses less digits than its factorization.

438145938900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486828841 (or 486828831 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 438145938900 in words is "four hundred thirty-eight billion, one hundred forty-five million, nine hundred thirty-eight thousand, nine hundred".