1071636256845 has 320 divisors, whose sum is σ = 2579766773760. Its totient is φ = 412093785600.

The previous prime is 1071636256783. The next prime is 1071636256861. The reversal of 1071636256845 is 5486526361701.

It is a happy number.

1071636256845 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 6 + 3 + 625 + 6 + 8 + 4 + 5 = 666.

It is not a de Polignac number, because 1071636256845 - 2⁶ = 1071636256781 is a prime.

It is a super-2 number, since 2×1071636256845² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1071636256791 and 1071636256800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 25457115 + ... + 25499175.

It is an arithmetic number, because the mean of its divisors is an integer number (8061771168).

Almost surely, 2^{1071636256845} is an apocalyptic number.

1071636256845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1071636256845 is an abundant number, since it is smaller than the sum of its proper divisors (1508130516915).

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

1071636256845 is a wasteful number, since it uses less digits than its factorization.

1071636256845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42158 (or 42149 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1071636256845 in words is "one trillion, seventy-one billion, six hundred thirty-six million, two hundred fifty-six thousand, eight hundred forty-five".