1162645632000 has 528 divisors, whose sum is σ = 4198026607632. Its totient is φ = 309421670400.

The previous prime is 1162645631957. The next prime is 1162645632037. The reversal of 1162645632000 is 2365462611.

1162645632000 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 645 + 6 + 3 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2044486656 + 1160601145344 = 45216^2 + 1077312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1125503484 + ... + 1125504516.

It is an arithmetic number, because the mean of its divisors is an integer number (7950807969).

Almost surely, 2^{1162645632000} is an apocalyptic number.

1162645632000 is a gapful number since it is divisible by the number (10) 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 1162645632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099013303816).

1162645632000 is an abundant number, since it is smaller than the sum of its proper divisors (3035380975632).

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

1162645632000 is a wasteful number, since it uses less digits than its factorization.

1162645632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1162645632000 in words is "one trillion, one hundred sixty-two billion, six hundred forty-five million, six hundred thirty-two thousand".