14989538326400 has 384 divisors, whose sum is σ = 41789639577600. Its totient is φ = 5263340544000.

The previous prime is 14989538326379. The next prime is 14989538326417. The reversal of 14989538326400 is 462383598941.

It is a super-2 number, since 2×14989538326400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

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 47 ways as a sum of consecutive naturals, for example, 505210766 + ... + 505240434.

It is an arithmetic number, because the mean of its divisors is an integer number (108827186400).

Almost surely, 2^{14989538326400} is an apocalyptic number.

14989538326400 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 14989538326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20894819788800).

14989538326400 is an abundant number, since it is smaller than the sum of its proper divisors (26800101251200).

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

14989538326400 is a wasteful number, since it uses less digits than its factorization.

14989538326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30198 (or 30181 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 62.

The spelling of 14989538326400 in words is "fourteen trillion, nine hundred eighty-nine billion, five hundred thirty-eight million, three hundred twenty-six thousand, four hundred".