13574850408990 has 384 divisors, whose sum is σ = 40806484992000. Its totient is φ = 3224364433920.

The previous prime is 13574850408989. The next prime is 13574850408991. The reversal of 13574850408990 is 9980405847531.

13574850408990 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 48 + 504 + 0 + 89 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13574850408989) and next prime (13574850408991).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13574850408991) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 341752351 + ... + 341792069.

It is an arithmetic number, because the mean of its divisors is an integer number (106266888000).

Almost surely, 2^{13574850408990} is an apocalyptic number.

13574850408990 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 13574850408990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20403242496000).

13574850408990 is an abundant number, since it is smaller than the sum of its proper divisors (27231634583010).

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

13574850408990 is a wasteful number, since it uses less digits than its factorization.

13574850408990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40134 (or 40122 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 13574850408990 in words is "thirteen trillion, five hundred seventy-four billion, eight hundred fifty million, four hundred eight thousand, nine hundred ninety".