13254561733248 has 1024 divisors, whose sum is σ = 44009360640000. Its totient is φ = 3942439464960.

The previous prime is 13254561733247. The next prime is 13254561733253. The reversal of 13254561733248 is 84233716545231.

13254561733248 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 4 + 561 + 7 + 3 + 32 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13254561733194 and 13254561733203.

It is not an unprimeable number, because it can be changed into a prime (13254561733247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74047830823 + ... + 74047831001.

It is an arithmetic number, because the mean of its divisors is an integer number (42977891250).

Almost surely, 2^{13254561733248} is an apocalyptic number.

13254561733248 is a gapful number since it is divisible by the number (18) 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 13254561733248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22004680320000).

13254561733248 is an abundant number, since it is smaller than the sum of its proper divisors (30754798906752).

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

13254561733248 is a wasteful number, since it uses less digits than its factorization.

13254561733248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 507 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 13254561733248 in words is "thirteen trillion, two hundred fifty-four billion, five hundred sixty-one million, seven hundred thirty-three thousand, two hundred forty-eight".