13444174590 has 384 divisors, whose sum is σ = 43926064128. Its totient is φ = 2597253120.

The previous prime is 13444174573. The next prime is 13444174591. The reversal of 13444174590 is 9547144431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444174591) 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, 13760182 + ... + 13761158.

It is an arithmetic number, because the mean of its divisors is an integer number (114390792).

Almost surely, 2^13444174590 is an apocalyptic number.

13444174590 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 13444174590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21963032064).

13444174590 is an abundant number, since it is smaller than the sum of its proper divisors (30481889538).

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

13444174590 is a wasteful number, since it uses less digits than its factorization.

13444174590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 13444174590 in words is "thirteen billion, four hundred forty-four million, one hundred seventy-four thousand, five hundred ninety".