13533401616 has 160 divisors (see below), whose sum is σ = 42377287680. Its totient is φ = 3633113088.

The previous prime is 13533401603. The next prime is 13533401617. The reversal of 13533401616 is 61610433531.

It is a super-3 number, since 3×13533401616³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13533401617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4150995 + ... + 4154253.

It is an arithmetic number, because the mean of its divisors is an integer number (264858048).

Almost surely, 2^13533401616 is an apocalyptic number.

13533401616 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 13533401616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21188643840).

13533401616 is an abundant number, since it is smaller than the sum of its proper divisors (28843886064).

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

13533401616 is a wasteful number, since it uses less digits than its factorization.

13533401616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 13533401616 in words is "thirteen billion, five hundred thirty-three million, four hundred one thousand, six hundred sixteen".