1162645765632 has 480 divisors, whose sum is σ = 3685827425280. Its totient is φ = 350654054400.

The previous prime is 1162645765597. The next prime is 1162645765661. The reversal of 1162645765632 is 2365675462611.

1162645765632 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 6 + 4 + 5 + 76 + 563 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714594003 + ... + 714595629.

It is an arithmetic number, because the mean of its divisors is an integer number (7678807136).

Almost surely, 2^{1162645765632} is an apocalyptic number.

1162645765632 is a gapful number since it is divisible by the number (12) 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 1162645765632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842913712640).

1162645765632 is an abundant number, since it is smaller than the sum of its proper divisors (2523181659648).

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

1162645765632 is a wasteful number, since it uses less digits than its factorization.

1162645765632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1875 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 1162645765632 in words is "one trillion, one hundred sixty-two billion, six hundred forty-five million, seven hundred sixty-five thousand, six hundred thirty-two".