13503437360352 has 144 divisors (see below), whose sum is σ = 39441298255632. Its totient is φ = 4379154554880.

The previous prime is 13503437360339. The next prime is 13503437360423. The reversal of 13503437360352 is 25306373430531.

13503437360352 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 3 + 4 + 37 + 3 + 603 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13503437360298 and 13503437360307.

It is a congruent number.

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, 163325808 + ... + 163408464.

It is an arithmetic number, because the mean of its divisors is an integer number (273897904553).

Almost surely, 2^{13503437360352} is an apocalyptic number.

13503437360352 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 13503437360352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19720649127816).

13503437360352 is an abundant number, since it is smaller than the sum of its proper divisors (25937860895280).

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

13503437360352 is a wasteful number, since it uses less digits than its factorization.

13503437360352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98041 (or 98030 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 45.

The spelling of 13503437360352 in words is "thirteen trillion, five hundred three billion, four hundred thirty-seven million, three hundred sixty thousand, three hundred fifty-two".