514226664 has 128 divisors (see below), whose sum is σ = 1640448000. Its totient is φ = 146204352.

The previous prime is 514226641. The next prime is 514226677. The reversal of 514226664 is 466622415.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360657 + ... + 362079.

It is an arithmetic number, because the mean of its divisors is an integer number (12816000).

Almost surely, 2^514226664 is an apocalyptic number.

514226664 is a gapful number since it is divisible by the number (54) 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 514226664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820224000).

514226664 is an abundant number, since it is smaller than the sum of its proper divisors (1126221336).

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

514226664 is a wasteful number, since it uses less digits than its factorization.

514226664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1674 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 514226664 is about 22676.5664067557. The cubic root of 514226664 is about 801.1580436930.

The spelling of 514226664 in words is "five hundred fourteen million, two hundred twenty-six thousand, six hundred sixty-four".