514538914680 has 640 divisors, whose sum is σ = 2085778252800. Its totient is φ = 111221434368.

The previous prime is 514538914679. The next prime is 514538914733. The reversal of 514538914680 is 86419835415.

It is a happy number.

514538914680 is a `hidden beast` number, since 5 + 1 + 45 + 389 + 146 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46420419 + ... + 46431501.

It is an arithmetic number, because the mean of its divisors is an integer number (3259028520).

Almost surely, 2^514538914680 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 514538914680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042889126400).

514538914680 is an abundant number, since it is smaller than the sum of its proper divisors (1571239338120).

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

514538914680 is a wasteful number, since it uses less digits than its factorization.

514538914680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11225 (or 11212 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 514538914680 in words is "five hundred fourteen billion, five hundred thirty-eight million, nine hundred fourteen thousand, six hundred eighty".