1949204107321 has 27 divisors (see below), whose sum is σ = 2073247131501. Its totient is φ = 1832315161824.

The previous prime is 1949204107307. The next prime is 1949204107337. The reversal of 1949204107321 is 1237014029491.

It is a happy number.

The square root of 1949204107321 is 1396139.

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

It can be written as a sum of positive squares in 4 ways, for example, as 782890505721 + 1166313601600 = 884811^2 + 1079960^2 .

It is not a de Polignac number, because 1949204107321 - 2⁵ = 1949204107289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1949204107351) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5225748091 + ... + 5225748463.

Almost surely, 2^{1949204107321} is an apocalyptic number.

1949204107321 is the 1396139-th square number.

1949204107321 is the 698070-th centered octagonal number.

It is an amenable number.

1949204107321 is a deficient number, since it is larger than the sum of its proper divisors (124043024180).

1949204107321 is an frugal number, since it uses more digits than its factorization.

1949204107321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 1949204107321 in words is "one trillion, nine hundred forty-nine billion, two hundred four million, one hundred seven thousand, three hundred twenty-one".