68014114560 has 576 divisors, whose sum is σ = 290372275200. Its totient is φ = 14726873088.

The previous prime is 68014114559. The next prime is 68014114601. The reversal of 68014114560 is 6541141086.

68014114560 is a `hidden beast` number, since 6 + 80 + 1 + 4 + 1 + 14 + 560 = 666.

68014114560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4589082 + ... + 4603878.

Almost surely, 2^68014114560 is an apocalyptic number.

68014114560 is a gapful number since it is divisible by the number (60) 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 68014114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145186137600).

68014114560 is an abundant number, since it is smaller than the sum of its proper divisors (222358160640).

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

68014114560 is a wasteful number, since it uses less digits than its factorization.

68014114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14853 (or 14833 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 68014114560 in words is "sixty-eight billion, fourteen million, one hundred fourteen thousand, five hundred sixty".