14746796064 has 1152 divisors, whose sum is σ = 62386329600. Its totient is φ = 3271311360.

The previous prime is 14746796017. The next prime is 14746796117. The reversal of 14746796064 is 46069764741.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14746796064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 249945667 + ... + 249945725.

It is an arithmetic number, because the mean of its divisors is an integer number (54154800).

Almost surely, 2^14746796064 is an apocalyptic number.

14746796064 is a gapful number since it is divisible by the number (14) 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 14746796064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31193164800).

14746796064 is an abundant number, since it is smaller than the sum of its proper divisors (47639533536).

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

14746796064 is a wasteful number, since it uses less digits than its factorization.

14746796064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 14746796064 in words is "fourteen billion, seven hundred forty-six million, seven hundred ninety-six thousand, sixty-four".