320514140141514 has 192 divisors, whose sum is σ = 818407706688000. Its totient is φ = 89624215048320.

The previous prime is 320514140141509. The next prime is 320514140141579. The reversal of 320514140141514 is 415141041415023.

320514140141514 is a `hidden beast` number, since 3 + 2 + 0 + 51 + 41 + 40 + 14 + 1 + 514 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17569429 + ... + 30817415.

It is an arithmetic number, because the mean of its divisors is an integer number (4262540139000).

Almost surely, 2^{320514140141514} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320514140141514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409203853344000).

320514140141514 is an abundant number, since it is smaller than the sum of its proper divisors (497893566546486).

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

320514140141514 is a wasteful number, since it uses less digits than its factorization.

320514140141514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13248193 (or 13248190 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 320514140141514 its reverse (415141041415023), we get a palindrome (735655181556537).

The spelling of 320514140141514 in words is "three hundred twenty trillion, five hundred fourteen billion, one hundred forty million, one hundred forty-one thousand, five hundred fourteen".