514243291771456 has 336 divisors, whose sum is σ = 1212727725619200. Its totient is φ = 215388075442176.

The previous prime is 514243291771421. The next prime is 514243291771499. The reversal of 514243291771456 is 654177192342415.

It is a junction number, because it is equal to n+sod(n) for n = 514243291771394 and 514243291771403.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756531516 + ... + 757210948.

It is an arithmetic number, because the mean of its divisors is an integer number (3609308707200).

Almost surely, 2^{514243291771456} 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 514243291771456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606363862809600).

514243291771456 is an abundant number, since it is smaller than the sum of its proper divisors (698484433847744).

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

514243291771456 is a wasteful number, since it uses less digits than its factorization.

514243291771456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679646 (or 679623 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 61.

The spelling of 514243291771456 in words is "five hundred fourteen trillion, two hundred forty-three billion, two hundred ninety-one million, seven hundred seventy-one thousand, four hundred fifty-six".