14978868300 has 1080 divisors, whose sum is σ = 60344887680. Its totient is φ = 3193344000.

The previous prime is 14978868287. The next prime is 14978868313. The reversal of 14978868300 is 386887941.

It is an interprime number because it is at equal distance from previous prime (14978868287) and next prime (14978868313).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 359 ways as a sum of consecutive naturals, for example, 483189285 + ... + 483189315.

It is an arithmetic number, because the mean of its divisors is an integer number (55874896).

Almost surely, 2^14978868300 is an apocalyptic number.

14978868300 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 14978868300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30172443840).

14978868300 is an abundant number, since it is smaller than the sum of its proper divisors (45366019380).

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

14978868300 is a wasteful number, since it uses less digits than its factorization.

14978868300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 14978868300 in words is "fourteen billion, nine hundred seventy-eight million, eight hundred sixty-eight thousand, three hundred".