1181285892864 has 864 divisors, whose sum is σ = 4403078184960. Its totient is φ = 295595827200.

The previous prime is 1181285892863. The next prime is 1181285892881. The reversal of 1181285892864 is 4682985821811.

1181285892864 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 28 + 589 + 28 + 6 + 4 = 666.

It is a super-2 number, since 2×1181285892864² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1181285892863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1908377547 + ... + 1908378165.

Almost surely, 2^{1181285892864} is an apocalyptic number.

1181285892864 is a gapful number since it is divisible by the number (14) 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 1181285892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201539092480).

1181285892864 is an abundant number, since it is smaller than the sum of its proper divisors (3221792292096).

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

1181285892864 is a wasteful number, since it uses less digits than its factorization.

1181285892864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1020 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 63.

The spelling of 1181285892864 in words is "one trillion, one hundred eighty-one billion, two hundred eighty-five million, eight hundred ninety-two thousand, eight hundred sixty-four".