6412511144 has 64 divisors (see below), whose sum is σ = 13320599040. Its totient is φ = 2874804480.

The previous prime is 6412511101. The next prime is 6412511173. The reversal of 6412511144 is 4411152146.

It is a super-2 number, since 2×6412511144² = 82240598343848377472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3319859 + ... + 3321789.

It is an arithmetic number, because the mean of its divisors is an integer number (208134360).

Almost surely, 2^6412511144 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 6412511144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660299520).

6412511144 is an abundant number, since it is smaller than the sum of its proper divisors (6908087896).

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

6412511144 is a wasteful number, since it uses less digits than its factorization.

6412511144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2846 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 6412511144 is about 80078.1564722865. The cubic root of 6412511144 is about 1857.8445706660.

The spelling of 6412511144 in words is "six billion, four hundred twelve million, five hundred eleven thousand, one hundred forty-four".