13450635216 has 120 divisors (see below), whose sum is σ = 38551818240. Its totient is φ = 4375849728.

The previous prime is 13450635113. The next prime is 13450635223. The reversal of 13450635216 is 61253605431.

13450635216 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 0 + 635 + 2 + 16 = 666.

It is a super-3 number, since 3×13450635216³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2589550 + ... + 2594738.

It is an arithmetic number, because the mean of its divisors is an integer number (321265152).

Almost surely, 2^13450635216 is an apocalyptic number.

13450635216 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 13450635216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19275909120).

13450635216 is an abundant number, since it is smaller than the sum of its proper divisors (25101183024).

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

13450635216 is a wasteful number, since it uses less digits than its factorization.

13450635216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5633 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 13450635216 in words is "thirteen billion, four hundred fifty million, six hundred thirty-five thousand, two hundred sixteen".