13738455360 has 840 divisors, whose sum is σ = 58966867080. Its totient is φ = 3023806464.

The previous prime is 13738455317. The next prime is 13738455371. The reversal of 13738455360 is 6355483731.

13738455360 is a `hidden beast` number, since 1 + 3 + 7 + 38 + 4 + 553 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1666598976 + 12071856384 = 40824^2 + 109872^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36832134 + ... + 36832506.

Almost surely, 2^13738455360 is an apocalyptic number.

13738455360 is a gapful number since it is divisible by the number (10) 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 13738455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29483433540).

13738455360 is an abundant number, since it is smaller than the sum of its proper divisors (45228411720).

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

13738455360 is a wasteful number, since it uses less digits than its factorization.

13738455360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 13738455360 in words is "thirteen billion, seven hundred thirty-eight million, four hundred fifty-five thousand, three hundred sixty".