14664828578400 has 7776 divisors, whose sum is σ = 79729460987904. Its totient is φ = 2561974272000.

The previous prime is 14664828578399. The next prime is 14664828578429. The reversal of 14664828578400 is 487582846641.

It is a happy number.

14664828578400 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 4 + 82 + 85 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

It is a super-4 number, since 4×14664828578400⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 473058986385 + ... + 473058986415.

It is an arithmetic number, because the mean of its divisors is an integer number (10253274304).

Almost surely, 2^{14664828578400} is an apocalyptic number.

14664828578400 is a gapful number since it is divisible by the number (10) 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 14664828578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39864730493952).

14664828578400 is an abundant number, since it is smaller than the sum of its proper divisors (65064632409504).

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

14664828578400 is a wasteful number, since it uses less digits than its factorization.

14664828578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 14664828578400 in words is "fourteen trillion, six hundred sixty-four billion, eight hundred twenty-eight million, five hundred seventy-eight thousand, four hundred".