514214914291056 has 960 divisors, whose sum is σ = 1789361779944960. Its totient is φ = 135820468224000.

The previous prime is 514214914291033. The next prime is 514214914291103. The reversal of 514214914291056 is 650192419412415.

514214914291056 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 1 + 491 + 42 + 9 + 105 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 514214914290993 and 514214914291011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5087106436 + ... + 5087207516.

It is an arithmetic number, because the mean of its divisors is an integer number (1863918520776).

Almost surely, 2^{514214914291056} 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 514214914291056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894680889972480).

514214914291056 is an abundant number, since it is smaller than the sum of its proper divisors (1275146865653904).

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

514214914291056 is a wasteful number, since it uses less digits than its factorization.

514214914291056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101366 (or 101357 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 514214914291056 in words is "five hundred fourteen trillion, two hundred fourteen billion, nine hundred fourteen million, two hundred ninety-one thousand, fifty-six".