68011454784 has 224 divisors, whose sum is σ = 221703229440. Its totient is φ = 17918466048.

The previous prime is 68011454783. The next prime is 68011454801. The reversal of 68011454784 is 48745411086.

68011454784 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68011454783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27656947 + ... + 27659405.

It is an arithmetic number, because the mean of its divisors is an integer number (989746560).

Almost surely, 2^68011454784 is an apocalyptic number.

68011454784 is a gapful number since it is divisible by the number (64) 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 68011454784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110851614720).

68011454784 is an abundant number, since it is smaller than the sum of its proper divisors (153691774656).

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

68011454784 is a wasteful number, since it uses less digits than its factorization.

68011454784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 68011454784 in words is "sixty-eight billion, eleven million, four hundred fifty-four thousand, seven hundred eighty-four".