1022824097664 has 256 divisors, whose sum is σ = 2910633860160. Its totient is φ = 317112320000.

The previous prime is 1022824097663. The next prime is 1022824097707. The reversal of 1022824097664 is 4667904282201.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022824097663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462187822 + ... + 462190034.

Almost surely, 2^{1022824097664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022824097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455316930080).

1022824097664 is an abundant number, since it is smaller than the sum of its proper divisors (1887809762496).

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

1022824097664 is a wasteful number, since it uses less digits than its factorization.

1022824097664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 1022824097664 in words is "one trillion, twenty-two billion, eight hundred twenty-four million, ninety-seven thousand, six hundred sixty-four".