14135282570500 has 288 divisors, whose sum is σ = 38707591130208. Its totient is φ = 4469713920000.

The previous prime is 14135282570491. The next prime is 14135282570653. The reversal of 14135282570500 is 507528253141.

It can be written as a sum of positive squares in 16 ways, for example, as 13979238609924 + 156043960576 = 3738882^2 + 395024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 379951900 + ... + 379989100.

It is an arithmetic number, because the mean of its divisors is an integer number (134401358091).

Almost surely, 2^{14135282570500} is an apocalyptic number.

14135282570500 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 14135282570500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353795565104).

14135282570500 is an abundant number, since it is smaller than the sum of its proper divisors (24572308559708).

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

14135282570500 is a wasteful number, since it uses less digits than its factorization.

14135282570500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38440 (or 38421 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 14135282570500 in words is "fourteen trillion, one hundred thirty-five billion, two hundred eighty-two million, five hundred seventy thousand, five hundred".