6156909241344 has 99 divisors (see below), whose sum is σ = 17778629662027. Its totient is φ = 2052223678464.

The previous prime is 6156909241313. The next prime is 6156909241349. The reversal of 6156909241344 is 4431429096516.

The square root of 6156909241344 is 2481312.

It is a perfect power (a square), and thus also a powerful number.

6156909241344 is a `hidden beast` number, since 6 + 1 + 56 + 9 + 0 + 9 + 241 + 344 = 666.

It is a super-2 number, since 2×6156909241344² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6156909241349) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 238193029 + ... + 238218875.

Almost surely, 2^{6156909241344} is an apocalyptic number.

6156909241344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6156909241344 is the 2481312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6156909241344

6156909241344 is an abundant number, since it is smaller than the sum of its proper divisors (11621720420683).

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

6156909241344 is an frugal number, since it uses more digits than its factorization.

6156909241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51720 (or 25852 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 6156909241344 in words is "six trillion, one hundred fifty-six billion, nine hundred nine million, two hundred forty-one thousand, three hundred forty-four".