1319851727104 has 81 divisors (see below), whose sum is σ = 2682161883457. Its totient is φ = 648207613952.

The previous prime is 1319851727057. The next prime is 1319851727107. The reversal of 1319851727104 is 4017271589131.

It is a happy number.

The square root of 1319851727104 is 1148848.

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., 442916870400 + 876934856704 = 665520^2 + 936448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1319851727107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1084511904 + ... + 1084513120.

Almost surely, 2^{1319851727104} is an apocalyptic number.

1319851727104 is the 1148848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1319851727104

1319851727104 is an abundant number, since it is smaller than the sum of its proper divisors (1362310156353).

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

1319851727104 is an frugal number, since it uses more digits than its factorization.

1319851727104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 49.

Multiplying 1319851727104 by its sum of digits (49), we get a square (64672734628096 = 8041936²).

The spelling of 1319851727104 in words is "one trillion, three hundred nineteen billion, eight hundred fifty-one million, seven hundred twenty-seven thousand, one hundred four".