13141584450 has 192 divisors, whose sum is σ = 37291363200. Its totient is φ = 3400934400.

The previous prime is 13141584427. The next prime is 13141584457. The reversal of 13141584450 is 5448514131.

13141584450 is a `hidden beast` number, since 1 + 31 + 4 + 1 + 584 + 45 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (13141584457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12896041 + ... + 12897059.

It is an arithmetic number, because the mean of its divisors is an integer number (194225850).

Almost surely, 2^13141584450 is an apocalyptic number.

13141584450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13141584450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18645681600).

13141584450 is an abundant number, since it is smaller than the sum of its proper divisors (24149778750).

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

13141584450 is a wasteful number, since it uses less digits than its factorization.

13141584450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 13141584450 in words is "thirteen billion, one hundred forty-one million, five hundred eighty-four thousand, four hundred fifty".