1146553248600 has 144 divisors (see below), whose sum is σ = 3861418087800. Its totient is φ = 304881223680.

The previous prime is 1146553248571. The next prime is 1146553248623. The reversal of 1146553248600 is 68423556411.

1146553248600 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 5 + 5 + 32 + 4 + 8 + 600 = 666.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266830 + ... + 1537629.

Almost surely, 2^{1146553248600} is an apocalyptic number.

1146553248600 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 1146553248600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930709043900).

1146553248600 is an abundant number, since it is smaller than the sum of its proper divisors (2714864839200).

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

1146553248600 is a wasteful number, since it uses less digits than its factorization.

1146553248600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804834 (or 1804822 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1146553248600 in words is "one trillion, one hundred forty-six billion, five hundred fifty-three million, two hundred forty-eight thousand, six hundred".