13074967148544 has 864 divisors, whose sum is σ = 45488542619520. Its totient is φ = 3603795148800.

The previous prime is 13074967148521. The next prime is 13074967148587. The reversal of 13074967148544 is 44584176947031.

It is a happy number.

13074967148544 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 49 + 6 + 7 + 1 + 48 + 544 = 666.

It is a super-2 number, since 2×13074967148544² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12907173382 + ... + 12907174394.

It is an arithmetic number, because the mean of its divisors is an integer number (52648776180).

Almost surely, 2^{13074967148544} is an apocalyptic number.

13074967148544 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 13074967148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22744271309760).

13074967148544 is an abundant number, since it is smaller than the sum of its proper divisors (32413575470976).

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

13074967148544 is a wasteful number, since it uses less digits than its factorization.

13074967148544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 13074967148544 in words is "thirteen trillion, seventy-four billion, nine hundred sixty-seven million, one hundred forty-eight thousand, five hundred forty-four".