1164463315200 has 324 divisors, whose sum is σ = 4165332655120. Its totient is φ = 310365941760.

The previous prime is 1164463315177. The next prime is 1164463315201. The reversal of 1164463315200 is 25133644611.

1164463315200 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 4 + 633 + 15 + 2 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1164463315201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 153154599 + ... + 153162201.

Almost surely, 2^{1164463315200} is an apocalyptic number.

1164463315200 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 1164463315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082666327560).

1164463315200 is an abundant number, since it is smaller than the sum of its proper divisors (3000869339920).

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

1164463315200 is a wasteful number, since it uses less digits than its factorization.

1164463315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10294 (or 10272 counting only the distinct ones).

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

Adding to 1164463315200 its reverse (25133644611), we get a palindrome (1189596959811).

The spelling of 1164463315200 in words is "one trillion, one hundred sixty-four billion, four hundred sixty-three million, three hundred fifteen thousand, two hundred".