1431715150849 has 27 divisors (see below), whose sum is σ = 1495264316553. Its totient is φ = 1370836239552.

The previous prime is 1431715150823. The next prime is 1431715150891. The reversal of 1431715150849 is 9480515171341.

The square root of 1431715150849 is 1196543.

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 357134126449 + 1074581024400 = 597607^2 + 1036620^2 .

It is not a de Polignac number, because 1431715150849 - 2³³ = 1423125216257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1431715160849) 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, 3231862422 + ... + 3231862864.

Almost surely, 2^{1431715150849} is an apocalyptic number.

1431715150849 is the 1196543-rd square number.

1431715150849 is the 598272-nd centered octagonal number.

It is an amenable number.

1431715150849 is a deficient number, since it is larger than the sum of its proper divisors (63549165704).

1431715150849 is an frugal number, since it uses more digits than its factorization.

1431715150849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 49.

Multiplying 1431715150849 by its sum of digits (49), we get a square (70154042391601 = 8375801²).

It can be divided in two parts, 1431715 and 150849, that added together give a square (1582564 = 1258²).

The spelling of 1431715150849 in words is "one trillion, four hundred thirty-one billion, seven hundred fifteen million, one hundred fifty thousand, eight hundred forty-nine".