13481794151616 has 448 divisors, whose sum is σ = 43564649472000. Its totient is φ = 3596487229440.

The previous prime is 13481794151591. The next prime is 13481794151629. The reversal of 13481794151616 is 61615149718431.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×13481794151616² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2064906240 + ... + 2064912768.

Almost surely, 2^{13481794151616} is an apocalyptic number.

13481794151616 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 13481794151616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21782324736000).

13481794151616 is an abundant number, since it is smaller than the sum of its proper divisors (30082855320384).

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

13481794151616 is a wasteful number, since it uses less digits than its factorization.

13481794151616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8320 (or 8310 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 57.

The spelling of 13481794151616 in words is "thirteen trillion, four hundred eighty-one billion, seven hundred ninety-four million, one hundred fifty-one thousand, six hundred sixteen".