68287386961 has 16 divisors (see below), whose sum is σ = 71487012688. Its totient is φ = 65169100800.

The previous prime is 68287386919. The next prime is 68287386983. The reversal of 68287386961 is 16968378286.

It can be written as a sum of positive squares in 8 ways, for example, as 6046617600 + 62240769361 = 77760^2 + 249481^2 .

It is a 3-Lehmer number, since φ(68287386961) divides (68287386961-1)³.

It is a cyclic number.

It is not a de Polignac number, because 68287386961 - 2¹³ = 68287378769 is a prime.

It is a super-2 number, since 2×68287386961² (a number of 22 digits) contains 22 as substring.

It is a deceptive number, since it divides R_68287386960.

It is a junction number, because it is equal to n+sod(n) for n = 68287386893 and 68287386902.

It is not an unprimeable number, because it can be changed into a prime (68287306961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419041 + ... + 558721.

It is an arithmetic number, because the mean of its divisors is an integer number (4467938293).

It is a Poulet number, since it divides 2^68287386960-1.

Almost surely, 2^68287386961 is an apocalyptic number.

68287386961 is the 139681-st nonagonal number.

It is an amenable number.

68287386961 is a deficient number, since it is larger than the sum of its proper divisors (3199625727).

68287386961 is a wasteful number, since it uses less digits than its factorization.

68287386961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139972.

The product of its digits is 41803776, while the sum is 64.

The spelling of 68287386961 in words is "sixty-eight billion, two hundred eighty-seven million, three hundred eighty-six thousand, nine hundred sixty-one".