13225734482544 has 400 divisors, whose sum is σ = 40202195207328. Its totient is φ = 4193078482944.

The previous prime is 13225734482531. The next prime is 13225734482651. The reversal of 13225734482544 is 44528443752231.

13225734482544 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 57 + 3 + 4 + 48 + 2 + 544 = 666.

It is a super-3 number, since 3×13225734482544³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 703973919 + ... + 703992705.

Almost surely, 2^{13225734482544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13225734482544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20101097603664).

13225734482544 is an abundant number, since it is smaller than the sum of its proper divisors (26976460724784).

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

13225734482544 is a wasteful number, since it uses less digits than its factorization.

13225734482544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19174 (or 19159 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 54.

The spelling of 13225734482544 in words is "thirteen trillion, two hundred twenty-five billion, seven hundred thirty-four million, four hundred eighty-two thousand, five hundred forty-four".