14648653950736 has 135 divisors (see below), whose sum is σ = 31119742579071. Its totient is φ = 6676868470272.

The previous prime is 14648653950713. The next prime is 14648653950761. The reversal of 14648653950736 is 63705935684641.

The square root of 14648653950736 is 3827356.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6404037584400 + 8244616366336 = 2530620^2 + 2871344^2 .

It is a super-2 number, since 2×14648653950736² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17713003155 + ... + 17713003981.

Almost surely, 2^{14648653950736} is an apocalyptic number.

14648653950736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14648653950736 is the 3827356-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14648653950736

14648653950736 is an abundant number, since it is smaller than the sum of its proper divisors (16471088628335).

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

14648653950736 is an frugal number, since it uses more digits than its factorization.

14648653950736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 67.

The spelling of 14648653950736 in words is "fourteen trillion, six hundred forty-eight billion, six hundred fifty-three million, nine hundred fifty thousand, seven hundred thirty-six".