13965160513536 has 576 divisors, whose sum is σ = 44368599808260. Its totient is φ = 4380080209920.

The previous prime is 13965160513517. The next prime is 13965160513541. The reversal of 13965160513536 is 63531506156931.

13965160513536 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 51 + 6 + 0 + 51 + 3 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12063673958400 + 1901486555136 = 3473280^2 + 1378944^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3654842506 + ... + 3654846326.

Almost surely, 2^{13965160513536} is an apocalyptic number.

13965160513536 is a gapful number since it is divisible by the number (16) 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 13965160513536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22184299904130).

13965160513536 is an abundant number, since it is smaller than the sum of its proper divisors (30403439294724).

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

13965160513536 is an frugal number, since it uses more digits than its factorization.

13965160513536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 6561000, while the sum is 54.

The spelling of 13965160513536 in words is "thirteen trillion, nine hundred sixty-five billion, one hundred sixty million, five hundred thirteen thousand, five hundred thirty-six".