1345161006000 has 1120 divisors, whose sum is σ = 5901939358848. Its totient is φ = 289341849600.

The previous prime is 1345161005963. The next prime is 1345161006011. The reversal of 1345161006000 is 6001615431.

1345161006000 is a `hidden beast` number, since 1 + 3 + 4 + 51 + 6 + 1 + 0 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 173498124 + ... + 173505876.

Almost surely, 2^{1345161006000} is an apocalyptic number.

1345161006000 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 1345161006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950969679424).

1345161006000 is an abundant number, since it is smaller than the sum of its proper divisors (4556778352848).

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

1345161006000 is an equidigital number, since it uses as much as digits as its factorization.

1345161006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7818 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 1345161006000 in words is "one trillion, three hundred forty-five billion, one hundred sixty-one million, six thousand".