6412514853888 has 1848 divisors, whose sum is σ = 23462826404864. Its totient is φ = 1738201006080.

The previous prime is 6412514853883. The next prime is 6412514853919. The reversal of 6412514853888 is 8883584152146.

6412514853888 is a `hidden beast` number, since 6 + 4 + 1 + 2 + 5 + 14 + 8 + 538 + 88 = 666.

It is a super-2 number, since 2×6412514853888² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6412514853883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 50492242881 + ... + 50492243007.

Almost surely, 2^{6412514853888} 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 6412514853888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11731413202432).

6412514853888 is an abundant number, since it is smaller than the sum of its proper divisors (17050311550976).

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

6412514853888 is a wasteful number, since it uses less digits than its factorization.

6412514853888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 199 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 63.

The spelling of 6412514853888 in words is "six trillion, four hundred twelve billion, five hundred fourteen million, eight hundred fifty-three thousand, eight hundred eighty-eight".