1431066697984 has 243 divisors, whose sum is σ = 3656228686383. Its totient is φ = 556984243200.

The previous prime is 1431066697933. The next prime is 1431066698003. The reversal of 1431066697984 is 4897966601341.

The square root of 1431066697984 is 1196272.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1473806619 + ... + 1473807589.

Almost surely, 2^{1431066697984} is an apocalyptic number.

1431066697984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1431066697984 is the 1196272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431066697984

1431066697984 is an abundant number, since it is smaller than the sum of its proper divisors (2225161988399).

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

1431066697984 is an frugal number, since it uses more digits than its factorization.

1431066697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 64.

Multiplying 1431066697984 by its sum of digits (64), we get a square (91588268670976 = 9570176²).

1431066697984 divided by its sum of digits (64) gives a square (22360417156 = 149534²).

The spelling of 1431066697984 in words is "one trillion, four hundred thirty-one billion, sixty-six million, six hundred ninety-seven thousand, nine hundred eighty-four".