13468187156480 has 448 divisors, whose sum is σ = 37382046818688. Its totient is φ = 4562563891200.

The previous prime is 13468187156461. The next prime is 13468187156503. The reversal of 13468187156480 is 8465178186431.

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

It is a super-3 number, since 3×13468187156480³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19212820130 + ... + 19212820830.

Almost surely, 2^{13468187156480} is an apocalyptic number.

13468187156480 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 13468187156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18691023409344).

13468187156480 is an abundant number, since it is smaller than the sum of its proper divisors (23913859662208).

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

13468187156480 is an equidigital number, since it uses as much as digits as its factorization.

13468187156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 62.

The spelling of 13468187156480 in words is "thirteen trillion, four hundred sixty-eight billion, one hundred eighty-seven million, one hundred fifty-six thousand, four hundred eighty".