6511142344 has 48 divisors (see below), whose sum is σ = 14263811100. Its totient is φ = 2778265728.

The previous prime is 6511142327. The next prime is 6511142371. The reversal of 6511142344 is 4432411156.

It can be written as a sum of positive squares in 2 ways, for example, as 5350922500 + 1160219844 = 73150^2 + 34062^2 .

It is a super-3 number, since 3×6511142344³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53502 + ... + 126034.

Almost surely, 2^6511142344 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 6511142344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131905550).

6511142344 is an abundant number, since it is smaller than the sum of its proper divisors (7752668756).

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

6511142344 is a wasteful number, since it uses less digits than its factorization.

6511142344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72782 (or 72771 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 6511142344 is about 80691.6497786481. The cubic root of 6511142344 is about 1867.3213523033.

The spelling of 6511142344 in words is "six billion, five hundred eleven million, one hundred forty-two thousand, three hundred forty-four".