6145105542944 has 96 divisors (see below), whose sum is σ = 12720254223600. Its totient is φ = 2918372638720.

The previous prime is 6145105542943. The next prime is 6145105542977. The reversal of 6145105542944 is 4492455015416.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3562052275600 + 2583053267344 = 1887340^2 + 1607188^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6145105542892 and 6145105542901.

It is not an unprimeable number, because it can be changed into a prime (6145105542943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16081784 + ... + 16459464.

Almost surely, 2^{6145105542944} 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 6145105542944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360127111800).

6145105542944 is an abundant number, since it is smaller than the sum of its proper divisors (6575148680656).

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

6145105542944 is a wasteful number, since it uses less digits than its factorization.

6145105542944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378006 (or 377998 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 50.

The spelling of 6145105542944 in words is "six trillion, one hundred forty-five billion, one hundred five million, five hundred forty-two thousand, nine hundred forty-four".