14486963400 has 960 divisors, whose sum is σ = 64125895680. Its totient is φ = 2948659200.

The previous prime is 14486963363. The next prime is 14486963437. The reversal of 14486963400 is 436968441.

14486963400 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 6 + 9 + 634 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14486963363) and next prime (14486963437).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 45700042 + ... + 45700358.

It is an arithmetic number, because the mean of its divisors is an integer number (66797808).

Almost surely, 2^14486963400 is an apocalyptic number.

14486963400 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 14486963400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32062947840).

14486963400 is an abundant number, since it is smaller than the sum of its proper divisors (49638932280).

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

14486963400 is a wasteful number, since it uses less digits than its factorization.

14486963400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 14486963400 in words is "fourteen billion, four hundred eighty-six million, nine hundred sixty-three thousand, four hundred".