13148455533192 has 1728 divisors, whose sum is σ = 47761350624000. Its totient is φ = 3249490083840.

The previous prime is 13148455533149. The next prime is 13148455533197. The reversal of 13148455533192 is 29133555484131.

13148455533192 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 84 + 5 + 553 + 3 + 1 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (13148455533197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 88244667934 + ... + 88244668082.

It is an arithmetic number, because the mean of its divisors is an integer number (27639670500).

Almost surely, 2^{13148455533192} is an apocalyptic number.

13148455533192 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 13148455533192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23880675312000).

13148455533192 is an abundant number, since it is smaller than the sum of its proper divisors (34612895090808).

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

13148455533192 is a wasteful number, since it uses less digits than its factorization.

13148455533192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 325 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 13148455533192 in words is "thirteen trillion, one hundred forty-eight billion, four hundred fifty-five million, five hundred thirty-three thousand, one hundred ninety-two".