45844138888900 has 81 divisors (see below), whose sum is σ = 109349519689543. Its totient is φ = 16670325126400.

The previous prime is 45844138888883. The next prime is 45844138888903. The reversal of 45844138888900 is 988883144854.

The square root of 45844138888900 is 6770830.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14066205244036 + 31777933644864 = 3750494^2 + 5637192^2 .

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 45844138888900.

It is not an unprimeable number, because it can be changed into a prime (45844138888903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 744760524 + ... + 744822076.

Almost surely, 2^{45844138888900} is an apocalyptic number.

45844138888900 is the 6770830-th square number.

It is an amenable number.

45844138888900 is an abundant number, since it is smaller than the sum of its proper divisors (63505380800643).

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

45844138888900 is an frugal number, since it uses more digits than its factorization.

45844138888900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123142 (or 61571 counting only the distinct ones).

The product of its (nonzero) digits is 283115520, while the sum is 70.

The spelling of 45844138888900 in words is "forty-five trillion, eight hundred forty-four billion, one hundred thirty-eight million, eight hundred eighty-eight thousand, nine hundred".