1000097822016 has 84 divisors (see below), whose sum is σ = 3035223382932. Its totient is φ = 313756176384.

The previous prime is 1000097821991. The next prime is 1000097822039. The reversal of 1000097822016 is 6102287900001.

1000097822016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 612337550400 + 387760271616 = 782520^2 + 622704^2 .

It is a super-2 number, since 2×1000097822016² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51057295 + ... + 51076878.

Almost surely, 2^{1000097822016} is an apocalyptic number.

1000097822016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1000097822016 is an abundant number, since it is smaller than the sum of its proper divisors (2035125560916).

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

1000097822016 is a wasteful number, since it uses less digits than its factorization.

1000097822016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102134208 (or 102134195 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1000097822016 in words is "one trillion, ninety-seven million, eight hundred twenty-two thousand, sixteen".