6145661986272 has 144 divisors (see below), whose sum is σ = 17767232355600. Its totient is φ = 2014517145600.

The previous prime is 6145661986253. The next prime is 6145661986279. The reversal of 6145661986272 is 2726891665416.

6145661986272 is a `hidden beast` number, since 6 + 1 + 4 + 5 + 6 + 619 + 8 + 6 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6145661986272² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6145661986279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82901479 + ... + 82975577.

It is an arithmetic number, because the mean of its divisors is an integer number (123383558025).

Almost surely, 2^{6145661986272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6145661986272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8883616177800).

6145661986272 is an abundant number, since it is smaller than the sum of its proper divisors (11621570369328).

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

6145661986272 is a wasteful number, since it uses less digits than its factorization.

6145661986272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78897 (or 78886 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 6145661986272 in words is "six trillion, one hundred forty-five billion, six hundred sixty-one million, nine hundred eighty-six thousand, two hundred seventy-two".