13414752479232 has 768 divisors, whose sum is σ = 44163729792000. Its totient is φ = 3997576986624.

The previous prime is 13414752479203. The next prime is 13414752479237. The reversal of 13414752479232 is 23297425741431.

13414752479232 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 47 + 524 + 79 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×13414752479232² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13414752479237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3009814348 + ... + 3009818804.

It is an arithmetic number, because the mean of its divisors is an integer number (57504856500).

Almost surely, 2^{13414752479232} is an apocalyptic number.

13414752479232 is a gapful number since it is divisible by the number (12) 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 13414752479232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22081864896000).

13414752479232 is an abundant number, since it is smaller than the sum of its proper divisors (30748977312768).

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

13414752479232 is a wasteful number, since it uses less digits than its factorization.

13414752479232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4607 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 13414752479232 in words is "thirteen trillion, four hundred fourteen billion, seven hundred fifty-two million, four hundred seventy-nine thousand, two hundred thirty-two".