6418542312 has 192 divisors, whose sum is σ = 22086005760. Its totient is φ = 1638144000.

The previous prime is 6418542271. The next prime is 6418542337. The reversal of 6418542312 is 2132458146.

It is a happy number.

6418542312 is a `hidden beast` number, since 6 + 418 + 5 + 4 + 231 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 187312 + ... + 218912.

It is an arithmetic number, because the mean of its divisors is an integer number (115031280).

Almost surely, 2^6418542312 is an apocalyptic number.

6418542312 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6418542312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11043002880).

6418542312 is an abundant number, since it is smaller than the sum of its proper divisors (15667463448).

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

6418542312 is a wasteful number, since it uses less digits than its factorization.

6418542312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31664 (or 31657 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 6418542312 is about 80115.8056315981. The cubic root of 6418542312 is about 1858.4268418662.

The spelling of 6418542312 in words is "six billion, four hundred eighteen million, five hundred forty-two thousand, three hundred twelve".