13748440272 has 160 divisors (see below), whose sum is σ = 41118796800. Its totient is φ = 3877300224.

The previous prime is 13748440259. The next prime is 13748440351. The reversal of 13748440272 is 27204484731.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13625304 + ... + 13626312.

It is an arithmetic number, because the mean of its divisors is an integer number (256992480).

Almost surely, 2^13748440272 is an apocalyptic number.

13748440272 is a gapful number since it is divisible by the number (12) 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 13748440272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20559398400).

13748440272 is an abundant number, since it is smaller than the sum of its proper divisors (27370356528).

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

13748440272 is a wasteful number, since it uses less digits than its factorization.

13748440272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 13748440272 in words is "thirteen billion, seven hundred forty-eight million, four hundred forty thousand, two hundred seventy-two".