13146451582000 has 80 divisors (see below), whose sum is σ = 34677949067424. Its totient is φ = 4780527840000.

The previous prime is 13146451581961. The next prime is 13146451582013. The reversal of 13146451582000 is 28515464131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298760991 + ... + 298804990.

Almost surely, 2^{13146451582000} is an apocalyptic number.

13146451582000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13146451582000 is an abundant number, since it is smaller than the sum of its proper divisors (21531497485424).

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

13146451582000 is a wasteful number, since it uses less digits than its factorization.

13146451582000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597566015 (or 597565999 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 13146451582000 in words is "thirteen trillion, one hundred forty-six billion, four hundred fifty-one million, five hundred eighty-two thousand".