6145016944 has 60 divisors (see below), whose sum is σ = 13538117880. Its totient is φ = 2696848000.

The previous prime is 6145016939. The next prime is 6145016947. The reversal of 6145016944 is 4496105416.

It is a super-2 number, since 2×6145016944² = 75522466484094198272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6145016897 and 6145016906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6145016947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1419 + ... + 110869.

It is an arithmetic number, because the mean of its divisors is an integer number (225635298).

Almost surely, 2^6145016944 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 6145016944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769058940).

6145016944 is an abundant number, since it is smaller than the sum of its proper divisors (7393100936).

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

6145016944 is a wasteful number, since it uses less digits than its factorization.

6145016944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109510 (or 109493 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 6145016944 is about 78390.1584639296. The cubic root of 6145016944 is about 1831.6438337502.

The spelling of 6145016944 in words is "six billion, one hundred forty-five million, sixteen thousand, nine hundred forty-four".