1514701363968 has 216 divisors, whose sum is σ = 4705815638160. Its totient is φ = 465802813440.

The previous prime is 1514701363949. The next prime is 1514701363997. The reversal of 1514701363968 is 8693631074151.

1514701363968 is a `hidden beast` number, since 1 + 5 + 1 + 470 + 136 + 39 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57824218 + ... + 57850406.

It is an arithmetic number, because the mean of its divisors is an integer number (21786183510).

Almost surely, 2^{1514701363968} is an apocalyptic number.

1514701363968 is a gapful number since it is divisible by the number (18) 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 1514701363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352907819080).

1514701363968 is an abundant number, since it is smaller than the sum of its proper divisors (3191114274192).

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

1514701363968 is a wasteful number, since it uses less digits than its factorization.

1514701363968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28155 (or 28138 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1514701363968 in words is "one trillion, five hundred fourteen billion, seven hundred one million, three hundred sixty-three thousand, nine hundred sixty-eight".