14853932646400 has 153 divisors (see below), whose sum is σ = 36849710274733. Its totient is φ = 5939599769600.

The previous prime is 14853932646359. The next prime is 14853932646403. The reversal of 14853932646400 is 464623935841.

It is a happy number.

The square root of 14853932646400 is 3854080.

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

It can be written as a sum of positive squares in only one way, i.e., 5347415752704 + 9506516893696 = 2312448^2 + 3083264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14853932646403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4933220895 + ... + 4933223905.

Almost surely, 2^{14853932646400} is an apocalyptic number.

14853932646400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14853932646400 is the 3854080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14853932646400

14853932646400 is an abundant number, since it is smaller than the sum of its proper divisors (21995777628333).

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

14853932646400 is an frugal number, since it uses more digits than its factorization.

14853932646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 55.

The spelling of 14853932646400 in words is "fourteen trillion, eight hundred fifty-three billion, nine hundred thirty-two million, six hundred forty-six thousand, four hundred".