1126162419264 has 343 divisors, whose sum is σ = 3559970087437. Its totient is φ = 353305857024.

The previous prime is 1126162419227. The next prime is 1126162419271. The reversal of 1126162419264 is 4629142616211.

The square root of 1126162419264 is 1061208.

The cubic root of 1126162419264 is 10404.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

1126162419264 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 1 + 624 + 19 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11431886400 + 1114730532864 = 106920^2 + 1055808^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 66244848184 + ... + 66244848200.

Almost surely, 2^{1126162419264} is an apocalyptic number.

1126162419264 is the 1061208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126162419264

1126162419264 is an abundant number, since it is smaller than the sum of its proper divisors (2433807668173).

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

1126162419264 is an frugal number, since it uses more digits than its factorization.

1126162419264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 22 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 1126162419264 in words is "one trillion, one hundred twenty-six billion, one hundred sixty-two million, four hundred nineteen thousand, two hundred sixty-four".