1071845514656 has 192 divisors, whose sum is σ = 2561027051520. Its totient is φ = 431347783680.

The previous prime is 1071845514613. The next prime is 1071845514661. The reversal of 1071845514656 is 6564155481701.

It is a super-2 number, since 2×1071845514656² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1071845514598 and 1071845514607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601146341 + ... + 601148123.

It is an arithmetic number, because the mean of its divisors is an integer number (13338682560).

Almost surely, 2^{1071845514656} is an apocalyptic number.

1071845514656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071845514656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280513525760).

1071845514656 is an abundant number, since it is smaller than the sum of its proper divisors (1489181536864).

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

1071845514656 is a wasteful number, since it uses less digits than its factorization.

1071845514656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 53.

The spelling of 1071845514656 in words is "one trillion, seventy-one billion, eight hundred forty-five million, five hundred fourteen thousand, six hundred fifty-six".