13445011561536 has 315 divisors, whose sum is σ = 40271946086757. Its totient is φ = 4435293542400.

The previous prime is 13445011561523. The next prime is 13445011561547. The reversal of 13445011561536 is 63516511054431.

The square root of 13445011561536 is 3666744.

It is a perfect power (a square), and thus also a powerful number.

13445011561536 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 50 + 1 + 1 + 5 + 61 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13311231183936 + 133780377600 = 3648456^2 + 365760^2 .

It is a super-2 number, since 2×13445011561536² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13445011561491 and 13445011561500.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33528706936 + ... + 33528707336.

Almost surely, 2^{13445011561536} is an apocalyptic number.

13445011561536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13445011561536 is the 3666744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13445011561536

13445011561536 is an abundant number, since it is smaller than the sum of its proper divisors (26826934525221).

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

13445011561536 is an frugal number, since it uses more digits than its factorization.

13445011561536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 13445011561536 in words is "thirteen trillion, four hundred forty-five billion, eleven million, five hundred sixty-one thousand, five hundred thirty-six".