1022096736144 has 945 divisors, whose sum is σ = 3506329499169. Its totient is φ = 288252898560.

The previous prime is 1022096736103. The next prime is 1022096736179. The reversal of 1022096736144 is 4416376902201.

The square root of 1022096736144 is 1010988.

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

1022096736144 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 9 + 6 + 7 + 3 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 914586195600 + 107510540544 = 956340^2 + 327888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1022096736144.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 27624236094 + ... + 27624236130.

Almost surely, 2^{1022096736144} is an apocalyptic number.

1022096736144 is the 1010988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022096736144

1022096736144 is an abundant number, since it is smaller than the sum of its proper divisors (2484232763025).

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

1022096736144 is an equidigital number, since it uses as much as digits as its factorization.

1022096736144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1022096736144 in words is "one trillion, twenty-two billion, ninety-six million, seven hundred thirty-six thousand, one hundred forty-four".