1777011638116 has 243 divisors, whose sum is σ = 3813401102553. Its totient is φ = 723684012480.

The previous prime is 1777011638093. The next prime is 1777011638123. The reversal of 1777011638116 is 6118361107771.

The square root of 1777011638116 is 1333046.

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., 262871544100 + 1514140094016 = 512710^2 + 1230504^2 .

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 1777011638116.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 22493818165 + ... + 22493818243.

Almost surely, 2^{1777011638116} is an apocalyptic number.

1777011638116 is the 1333046-th square number.

It is an amenable number.

1777011638116 is an abundant number, since it is smaller than the sum of its proper divisors (2036389464437).

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

1777011638116 is a wasteful number, since it uses less digits than its factorization.

1777011638116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 49.

Multiplying 1777011638116 by its sum of digits (49), we get a square (87073570267684 = 9331322²).

The spelling of 1777011638116 in words is "one trillion, seven hundred seventy-seven billion, eleven million, six hundred thirty-eight thousand, one hundred sixteen".