6145113327000 has 128 divisors (see below), whose sum is σ = 19185962477760. Its totient is φ = 1637567923200.

The previous prime is 6145113326999. The next prime is 6145113327019. The reversal of 6145113327000 is 7233115416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3654124 + ... + 5063876.

Almost surely, 2^{6145113327000} is an apocalyptic number.

6145113327000 is a gapful number since it is divisible by the number (60) 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 6145113327000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9592981238880).

6145113327000 is an abundant number, since it is smaller than the sum of its proper divisors (13040849150760).

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

6145113327000 is a wasteful number, since it uses less digits than its factorization.

6145113327000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411230 (or 1411216 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 6145113327000 in words is "six trillion, one hundred forty-five billion, one hundred thirteen million, three hundred twenty-seven thousand".