1138164655104 has 99 divisors (see below), whose sum is σ = 3286721496513. Its totient is φ = 379354079232.

The previous prime is 1138164655097. The next prime is 1138164655151. The reversal of 1138164655104 is 4015564618311.

The square root of 1138164655104 is 1066848.

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

1138164655104 is a `hidden beast` number, since 1 + 1 + 3 + 81 + 6 + 465 + 5 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5115110400 + 1133049544704 = 71520^2 + 1064448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1138164655104.

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, 102411852 + ... + 102422964.

Almost surely, 2^{1138164655104} is an apocalyptic number.

1138164655104 is the 1066848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138164655104

1138164655104 is an abundant number, since it is smaller than the sum of its proper divisors (2148556841409).

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

1138164655104 is an frugal number, since it uses more digits than its factorization.

1138164655104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22252 (or 11118 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1138164655104 in words is "one trillion, one hundred thirty-eight billion, one hundred sixty-four million, six hundred fifty-five thousand, one hundred four".