13753100448 has 144 divisors (see below), whose sum is σ = 41289393600. Its totient is φ = 4330368000.

The previous prime is 13753100399. The next prime is 13753100461. The reversal of 13753100448 is 84400135731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1960948 + ... + 1967948.

It is an arithmetic number, because the mean of its divisors is an integer number (286731900).

Almost surely, 2^13753100448 is an apocalyptic number.

13753100448 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 13753100448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20644696800).

13753100448 is an abundant number, since it is smaller than the sum of its proper divisors (27536293152).

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

13753100448 is a wasteful number, since it uses less digits than its factorization.

13753100448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7395 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13753100448 in words is "thirteen billion, seven hundred fifty-three million, one hundred thousand, four hundred forty-eight".