1152945471600 has 720 divisors, whose sum is σ = 4493162419200. Its totient is φ = 271817441280.

The previous prime is 1152945471547. The next prime is 1152945471611. The reversal of 1152945471600 is 61745492511.

1152945471600 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 94 + 547 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 172361056 + ... + 172367744.

It is an arithmetic number, because the mean of its divisors is an integer number (6240503360).

Almost surely, 2^{1152945471600} is an apocalyptic number.

1152945471600 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 1152945471600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246581209600).

1152945471600 is an abundant number, since it is smaller than the sum of its proper divisors (3340216947600).

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

1152945471600 is a wasteful number, since it uses less digits than its factorization.

1152945471600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6882 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1152945471600 in words is "one trillion, one hundred fifty-two billion, nine hundred forty-five million, four hundred seventy-one thousand, six hundred".