14696700939648 has 2048 divisors, whose sum is σ = 57948742656000. Its totient is φ = 3561012854784.

The previous prime is 14696700939647. The next prime is 14696700939703. The reversal of 14696700939648 is 84693900769641.

14696700939648 is a `hidden beast` number, since 1 + 46 + 96 + 70 + 0 + 9 + 396 + 48 = 666.

It is a super-2 number, since 2×14696700939648² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14696700939647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23819612236 + ... + 23819612852.

It is an arithmetic number, because the mean of its divisors is an integer number (28295284500).

Almost surely, 2^{14696700939648} is an apocalyptic number.

14696700939648 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 14696700939648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28974371328000).

14696700939648 is an abundant number, since it is smaller than the sum of its proper divisors (43252041716352).

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

14696700939648 is a wasteful number, since it uses less digits than its factorization.

14696700939648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 14696700939648 in words is "fourteen trillion, six hundred ninety-six billion, seven hundred million, nine hundred thirty-nine thousand, six hundred forty-eight".