13354152263928 has 576 divisors, whose sum is σ = 44021426641920. Its totient is φ = 3642328166400.

The previous prime is 13354152263927. The next prime is 13354152263971. The reversal of 13354152263928 is 82936225145331.

13354152263928 is a `hidden beast` number, since 1 + 3 + 3 + 54 + 1 + 522 + 63 + 9 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13354152263927) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3511476475 + ... + 3511480277.

It is an arithmetic number, because the mean of its divisors is an integer number (76426087920).

Almost surely, 2^{13354152263928} is an apocalyptic number.

13354152263928 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 13354152263928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22010713320960).

13354152263928 is an abundant number, since it is smaller than the sum of its proper divisors (30667274377992).

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

13354152263928 is a wasteful number, since it uses less digits than its factorization.

13354152263928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4274 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 13354152263928 in words is "thirteen trillion, three hundred fifty-four billion, one hundred fifty-two million, two hundred sixty-three thousand, nine hundred twenty-eight".