13145271454770 has 512 divisors, whose sum is σ = 40405733867520. Its totient is φ = 2678260515840.

The previous prime is 13145271454741. The next prime is 13145271454811. The reversal of 13145271454770 is 7745417254131.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10626734592 + ... + 10626735828.

It is an arithmetic number, because the mean of its divisors is an integer number (78917448960).

Almost surely, 2^{13145271454770} is an apocalyptic number.

13145271454770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13145271454770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20202866933760).

13145271454770 is an abundant number, since it is smaller than the sum of its proper divisors (27260462412750).

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

13145271454770 is a wasteful number, since it uses less digits than its factorization.

13145271454770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 51.

The spelling of 13145271454770 in words is "thirteen trillion, one hundred forty-five billion, two hundred seventy-one million, four hundred fifty-four thousand, seven hundred seventy".