1422945667584 has 560 divisors, whose sum is σ = 4884889882752. Its totient is φ = 405454823424.

The previous prime is 1422945667567. The next prime is 1422945667607. The reversal of 1422945667584 is 4857665492241.

1422945667584 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 9 + 45 + 6 + 6 + 7 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1915135117 + ... + 1915135859.

Almost surely, 2^{1422945667584} is an apocalyptic number.

1422945667584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1422945667584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442444941376).

1422945667584 is an abundant number, since it is smaller than the sum of its proper divisors (3461944215168).

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

1422945667584 is an frugal number, since it uses more digits than its factorization.

1422945667584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1488 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 1422945667584 in words is "one trillion, four hundred twenty-two billion, nine hundred forty-five million, six hundred sixty-seven thousand, five hundred eighty-four".