1146471580800 has 2304 divisors, whose sum is σ = 5407885123200. Its totient is φ = 234937221120.

The previous prime is 1146471580799. The next prime is 1146471580829. The reversal of 1146471580800 is 80851746411.

1146471580800 is a `hidden beast` number, since 1 + 1 + 4 + 64 + 7 + 1 + 580 + 8 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2036361319 + ... + 2036361881.

Almost surely, 2^{1146471580800} is an apocalyptic number.

1146471580800 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 1146471580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703942561600).

1146471580800 is an abundant number, since it is smaller than the sum of its proper divisors (4261413542400).

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

1146471580800 is a wasteful number, since it uses less digits than its factorization.

1146471580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

It can be divided in two parts, 1146471 and 580800, that added together give a palindrome (1727271).

The spelling of 1146471580800 in words is "one trillion, one hundred forty-six billion, four hundred seventy-one million, five hundred eighty thousand, eight hundred".