1149621303600 has 2400 divisors, whose sum is σ = 5501114572800. Its totient is φ = 222717081600.

The previous prime is 1149621303599. The next prime is 1149621303613. The reversal of 1149621303600 is 63031269411.

1149621303600 is a `hidden beast` number, since 1 + 1 + 49 + 6 + 2 + 1 + 3 + 0 + 3 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3744694647 + ... + 3744694953.

It is an arithmetic number, because the mean of its divisors is an integer number (2292131072).

Almost surely, 2^{1149621303600} is an apocalyptic number.

1149621303600 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 1149621303600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750557286400).

1149621303600 is an abundant number, since it is smaller than the sum of its proper divisors (4351493269200).

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

1149621303600 is a wasteful number, since it uses less digits than its factorization.

1149621303600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 1149621303600 in words is "one trillion, one hundred forty-nine billion, six hundred twenty-one million, three hundred three thousand, six hundred".