13290498144 has 672 divisors, whose sum is σ = 50239526400. Its totient is φ = 3429216000.

The previous prime is 13290498121. The next prime is 13290498163. The reversal of 13290498144 is 44189409231.

13290498144 is a `hidden beast` number, since 1 + 32 + 90 + 498 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 13290498144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 88016469 + ... + 88016619.

It is an arithmetic number, because the mean of its divisors is an integer number (74761200).

Almost surely, 2^13290498144 is an apocalyptic number.

13290498144 is a gapful number since it is divisible by the number (14) 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 13290498144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25119763200).

13290498144 is an abundant number, since it is smaller than the sum of its proper divisors (36949028256).

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

13290498144 is an equidigital number, since it uses as much as digits as its factorization.

13290498144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13290498144 in words is "thirteen billion, two hundred ninety million, four hundred ninety-eight thousand, one hundred forty-four".