13454132372352 has 768 divisors, whose sum is σ = 47255001292800. Its totient is φ = 3756445507584.

The previous prime is 13454132372341. The next prime is 13454132372353. The reversal of 13454132372352 is 25327323145431.

13454132372352 is a `hidden beast` number, since 1 + 3 + 4 + 54 + 13 + 237 + 2 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13454132372298 and 13454132372307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13454132372353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1440943428 + ... + 1440952764.

It is an arithmetic number, because the mean of its divisors is an integer number (61529949600).

Almost surely, 2^{13454132372352} is an apocalyptic number.

13454132372352 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 13454132372352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23627500646400).

13454132372352 is an abundant number, since it is smaller than the sum of its proper divisors (33800868920448).

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

13454132372352 is a wasteful number, since it uses less digits than its factorization.

13454132372352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9568 (or 9543 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The spelling of 13454132372352 in words is "thirteen trillion, four hundred fifty-four billion, one hundred thirty-two million, three hundred seventy-two thousand, three hundred fifty-two".