44219201661504 has 63 divisors (see below), whose sum is σ = 126746814989353. Its totient is φ = 14739680689152.

The previous prime is 44219201661493. The next prime is 44219201661553. The reversal of 44219201661504 is 40516610291244.

The square root of 44219201661504 is 6649752.

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

44219201661504 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 9 + 20 + 1 + 6 + 615 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16352965454400 + 27866236207104 = 4043880^2 + 5278848^2 .

It is a super-5 number, since 5×44219201661504⁵ (a number of 69 digits) contains 55555 as substring. Note that it is a super-d number also for d = 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 44219201661504.

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, 159455512 + ... + 159732584.

Almost surely, 2^{44219201661504} is an apocalyptic number.

44219201661504 is the 6649752-nd square number.

It is an amenable number.

44219201661504 is an abundant number, since it is smaller than the sum of its proper divisors (82527613327849).

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

44219201661504 is an frugal number, since it uses more digits than its factorization.

44219201661504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554164 (or 277078 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 44219201661504 in words is "forty-four trillion, two hundred nineteen billion, two hundred one million, six hundred sixty-one thousand, five hundred four".