13544394048 has 224 divisors, whose sum is σ = 41078912000. Its totient is φ = 4372973568.

The previous prime is 13544394043. The next prime is 13544394053. The reversal of 13544394048 is 84049344531.

13544394048 is a `hidden beast` number, since 13 + 544 + 3 + 94 + 0 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13544394043) and next prime (13544394053).

It is a super-2 number, since 2×13544394048² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13544393994 and 13544394012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13544394043) 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, 22313361 + ... + 22313967.

It is an arithmetic number, because the mean of its divisors is an integer number (183388000).

Almost surely, 2^13544394048 is an apocalyptic number.

13544394048 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 13544394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20539456000).

13544394048 is an abundant number, since it is smaller than the sum of its proper divisors (27534517952).

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

13544394048 is a wasteful number, since it uses less digits than its factorization.

13544394048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 13544394048 in words is "thirteen billion, five hundred forty-four million, three hundred ninety-four thousand, forty-eight".