516466501164 has 144 divisors (see below), whose sum is σ = 1420631896320. Its totient is φ = 163749263040.

The previous prime is 516466501163. The next prime is 516466501169. The reversal of 516466501164 is 461105664615.

516466501164 is a `hidden beast` number, since 516 + 4 + 6 + 65 + 0 + 11 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (516466501163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3937194 + ... + 4066254.

It is an arithmetic number, because the mean of its divisors is an integer number (9865499280).

Almost surely, 2^516466501164 is an apocalyptic number.

516466501164 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 516466501164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710315948160).

516466501164 is an abundant number, since it is smaller than the sum of its proper divisors (904165395156).

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

516466501164 is a wasteful number, since it uses less digits than its factorization.

516466501164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129282 (or 129268 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 516466501164 in words is "five hundred sixteen billion, four hundred sixty-six million, five hundred one thousand, one hundred sixty-four".