514226016 has 192 divisors, whose sum is σ = 1575383040. Its totient is φ = 162984960.

The previous prime is 514225991. The next prime is 514226029. The reversal of 514226016 is 610622415.

514226016 is a `hidden beast` number, since 51 + 4 + 2 + 2 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1955101 + ... + 1955363.

It is an arithmetic number, because the mean of its divisors is an integer number (8205120).

Almost surely, 2^514226016 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 514226016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787691520).

514226016 is an abundant number, since it is smaller than the sum of its proper divisors (1061157024).

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

514226016 is a wasteful number, since it uses less digits than its factorization.

514226016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 514226016 is about 22676.5521188738. The cubic root of 514226016 is about 801.1577071678.

The spelling of 514226016 in words is "five hundred fourteen million, two hundred twenty-six thousand, sixteen".