1065148606800 has 960 divisors, whose sum is σ = 4128216134400. Its totient is φ = 263095050240.

The previous prime is 1065148606789. The next prime is 1065148606801. The reversal of 1065148606800 is 86068415601.

1065148606800 is a `hidden beast` number, since 10 + 6 + 514 + 8 + 60 + 68 + 0 + 0 = 666.

It is a super-2 number, since 2×1065148606800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065148606801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 996396666 + ... + 996397734.

It is an arithmetic number, because the mean of its divisors is an integer number (4300225140).

Almost surely, 2^{1065148606800} is an apocalyptic number.

1065148606800 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 1065148606800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064108067200).

1065148606800 is an abundant number, since it is smaller than the sum of its proper divisors (3063067527600).

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

1065148606800 is a wasteful number, since it uses less digits than its factorization.

1065148606800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1065148606800 in words is "one trillion, sixty-five billion, one hundred forty-eight million, six hundred six thousand, eight hundred".