13361768987616 has 144 divisors (see below), whose sum is σ = 44484914099808. Its totient is φ = 3724534886400.

The previous prime is 13361768987597. The next prime is 13361768987639. The reversal of 13361768987616 is 61678986716331.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13361768987616² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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, 80744925 + ... + 80910236.

It is an arithmetic number, because the mean of its divisors is an integer number (308923014582).

Almost surely, 2^{13361768987616} is an apocalyptic number.

13361768987616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13361768987616 is an abundant number, since it is smaller than the sum of its proper divisors (31123145112192).

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

13361768987616 is a wasteful number, since it uses less digits than its factorization.

13361768987616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161655225 (or 161655214 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 13361768987616 in words is "thirteen trillion, three hundred sixty-one billion, seven hundred sixty-eight million, nine hundred eighty-seven thousand, six hundred sixteen".