13790180448 has 192 divisors, whose sum is σ = 44623353600. Its totient is φ = 4107847680.

The previous prime is 13790180447. The next prime is 13790180471. The reversal of 13790180448 is 84408109731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13790180447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548440 + ... + 573032.

It is an arithmetic number, because the mean of its divisors is an integer number (232413300).

Almost surely, 2^13790180448 is an apocalyptic number.

13790180448 is a gapful number since it is divisible by the number (18) 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 13790180448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311676800).

13790180448 is an abundant number, since it is smaller than the sum of its proper divisors (30833173152).

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

13790180448 is a wasteful number, since it uses less digits than its factorization.

13790180448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24682 (or 24668 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 13790180448 in words is "thirteen billion, seven hundred ninety million, one hundred eighty thousand, four hundred forty-eight".