19040688144 has 75 divisors (see below), whose sum is σ = 55123656973. Its totient is φ = 6345240192.

The previous prime is 19040688133. The next prime is 19040688167. The reversal of 19040688144 is 44188604091.

The square root of 19040688144 is 137988.

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

It can be written as a sum of positive squares in only one way, i.e., 4129347600 + 14911340544 = 64260^2 + 122112^2 .

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 19040688144.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4965652 + ... + 4969484.

Almost surely, 2^19040688144 is an apocalyptic number.

19040688144 is the 137988-th square number.

It is an amenable number.

19040688144 is an abundant number, since it is smaller than the sum of its proper divisors (36082968829).

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

19040688144 is an frugal number, since it uses more digits than its factorization.

19040688144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7686 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 19040688144 in words is "nineteen billion, forty million, six hundred eighty-eight thousand, one hundred forty-four".