13468148142330 has 192 divisors, whose sum is σ = 37777152097152. Its totient is φ = 3064020664320.

The previous prime is 13468148142299. The next prime is 13468148142331. The reversal of 13468148142330 is 3324184186431.

It is a self number, because there is not a number n which added to its sum of digits gives 13468148142330.

It is not an unprimeable number, because it can be changed into a prime (13468148142331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 499047097 + ... + 499074083.

It is an arithmetic number, because the mean of its divisors is an integer number (196756000506).

Almost surely, 2^{13468148142330} is an apocalyptic number.

13468148142330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13468148142330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18888576048576).

13468148142330 is an abundant number, since it is smaller than the sum of its proper divisors (24309003954822).

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

13468148142330 is a wasteful number, since it uses less digits than its factorization.

13468148142330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28589 (or 28582 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 13468148142330 in words is "thirteen trillion, four hundred sixty-eight billion, one hundred forty-eight million, one hundred forty-two thousand, three hundred thirty".