13551084768 has 96 divisors (see below), whose sum is σ = 38344011552. Its totient is φ = 4165632000.

The previous prime is 13551084763. The next prime is 13551084773. The reversal of 13551084768 is 86748015531.

It is an interprime number because it is at equal distance from previous prime (13551084763) and next prime (13551084773).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13551084768² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13551084763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1494328 + ... + 1503368.

It is an arithmetic number, because the mean of its divisors is an integer number (399416787).

Almost surely, 2^13551084768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13551084768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19172005776).

13551084768 is an abundant number, since it is smaller than the sum of its proper divisors (24792926784).

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

13551084768 is a wasteful number, since it uses less digits than its factorization.

13551084768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10268 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 13551084768 in words is "thirteen billion, five hundred fifty-one million, eighty-four thousand, seven hundred sixty-eight".