514404514632006 has 24 divisors (see below), whose sum is σ = 1114652717469720. Its totient is φ = 171451309631136.

The previous prime is 514404514631981. The next prime is 514404514632011. The reversal of 514404514632006 is 600236415404415.

514404514632006 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 0 + 4 + 5 + 1 + 4 + 632 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×514404514632006² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1404971280 + ... + 1405337363.

It is an arithmetic number, because the mean of its divisors is an integer number (46443863227905).

Almost surely, 2^{514404514632006} is an apocalyptic number.

514404514632006 is an abundant number, since it is smaller than the sum of its proper divisors (600248202837714).

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

514404514632006 is a wasteful number, since it uses less digits than its factorization.

514404514632006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810318820 (or 2810318817 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 514404514632006 in words is "five hundred fourteen trillion, four hundred four billion, five hundred fourteen million, six hundred thirty-two thousand, six".