1017734860896 has 96 divisors (see below), whose sum is σ = 2906718903648. Its totient is φ = 309920808960.

The previous prime is 1017734860889. The next prime is 1017734860903. The reversal of 1017734860896 is 6980684377101.

1017734860896 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1017734860889) and next prime (1017734860903).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4082515 + ... + 4324626.

It is an arithmetic number, because the mean of its divisors is an integer number (30278321913).

Almost surely, 2^{1017734860896} is an apocalyptic number.

1017734860896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1017734860896 is an abundant number, since it is smaller than the sum of its proper divisors (1888984042752).

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

1017734860896 is a wasteful number, since it uses less digits than its factorization.

1017734860896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8407264 (or 8407256 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 1017734860896 in words is "one trillion, seventeen billion, seven hundred thirty-four million, eight hundred sixty thousand, eight hundred ninety-six".