1145025466200 has 768 divisors, whose sum is σ = 4924934784000. Its totient is φ = 237551616000.

The previous prime is 1145025466121. The next prime is 1145025466241. The reversal of 1145025466200 is 26645205411.

1145025466200 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 25 + 4 + 6 + 620 + 0 = 666.

It is a super-2 number, since 2×1145025466200² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 319748410 + ... + 319751990.

It is an arithmetic number, because the mean of its divisors is an integer number (6412675500).

Almost surely, 2^{1145025466200} is an apocalyptic number.

1145025466200 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 1145025466200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462467392000).

1145025466200 is an abundant number, since it is smaller than the sum of its proper divisors (3779909317800).

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

1145025466200 is a wasteful number, since it uses less digits than its factorization.

1145025466200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4378 counting only the distinct ones).

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

The spelling of 1145025466200 in words is "one trillion, one hundred forty-five billion, twenty-five million, four hundred sixty-six thousand, two hundred".