1145520466200 has 576 divisors, whose sum is σ = 4362358291200. Its totient is φ = 266926924800.

The previous prime is 1145520466151. The next prime is 1145520466231. The reversal of 1145520466200 is 26640255411.

1145520466200 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 5 + 20 + 4 + 6 + 620 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60796381 + ... + 60815219.

It is an arithmetic number, because the mean of its divisors is an integer number (7573538700).

Almost surely, 2^{1145520466200} is an apocalyptic number.

1145520466200 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 1145520466200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181179145600).

1145520466200 is an abundant number, since it is smaller than the sum of its proper divisors (3216837825000).

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

1145520466200 is a wasteful number, since it uses less digits than its factorization.

1145520466200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18992 (or 18980 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1145520466200 in words is "one trillion, one hundred forty-five billion, five hundred twenty million, four hundred sixty-six thousand, two hundred".