13096181624064 has 1944 divisors, whose sum is σ = 48741854402304. Its totient is φ = 3106485043200.

The previous prime is 13096181624051. The next prime is 13096181624077. The reversal of 13096181624064 is 46042618169031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13096181624051) and next prime (13096181624077).

It is a junction number, because it is equal to n+sod(n) for n = 13096181623998 and 13096181624016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 50957905024 + ... + 50957905280.

Almost surely, 2^{13096181624064} is an apocalyptic number.

13096181624064 is a gapful number since it is divisible by the number (14) 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 13096181624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24370927201152).

13096181624064 is an abundant number, since it is smaller than the sum of its proper divisors (35645672778240).

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

13096181624064 is a wasteful number, since it uses less digits than its factorization.

13096181624064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 13096181624064 in words is "thirteen trillion, ninety-six billion, one hundred eighty-one million, six hundred twenty-four thousand, sixty-four".