13091361454080 has 3840 divisors, whose sum is σ = 61509072643200. Its totient is φ = 2621932830720.

The previous prime is 13091361454079. The next prime is 13091361454133. The reversal of 13091361454080 is 8045416319031.

13091361454080 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 13 + 6 + 14 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×13091361454080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 319301498860 + ... + 319301498900.

Almost surely, 2^{13091361454080} is an apocalyptic number.

13091361454080 is a gapful number since it is divisible by the number (10) 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 13091361454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30754536321600).

13091361454080 is an abundant number, since it is smaller than the sum of its proper divisors (48417711189120).

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

13091361454080 is an equidigital number, since it uses as much as digits as its factorization.

13091361454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13091361454080 in words is "thirteen trillion, ninety-one billion, three hundred sixty-one million, four hundred fifty-four thousand, eighty".