514150661106 has 64 divisors (see below), whose sum is σ = 1157013728640. Its totient is φ = 171331539552.

The previous prime is 514150661099. The next prime is 514150661111. The reversal of 514150661106 is 601166051415.

514150661106 is a `hidden beast` number, since 5 + 1 + 41 + 506 + 6 + 1 + 106 = 666.

It is a super-2 number, since 2×514150661106² (a number of 24 digits) contains 22 as substring.

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, 16049701 + ... + 16081703.

It is an arithmetic number, because the mean of its divisors is an integer number (18078339510).

Almost surely, 2^514150661106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514150661106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578506864320).

514150661106 is an abundant number, since it is smaller than the sum of its proper divisors (642863067534).

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

514150661106 is an equidigital number, since it uses as much as digits as its factorization.

514150661106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35699 (or 35681 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 514150661106 in words is "five hundred fourteen billion, one hundred fifty million, six hundred sixty-one thousand, one hundred six".