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13468148142336 = 2837732291439

13468148142336 has 576 divisors, whose sum is σ = 41078709504000. Its totient is φ = 4405484961792.

The previous prime is 13468148142331. The next prime is 13468148142391. The reversal of 13468148142336 is 63324184186431.

13468148142336 is a `hidden beast` number, since 1 + 3 + 46 + 8 + 148 + 1 + 423 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 9359379505 + ... + 9359380943.

It is an arithmetic number, because the mean of its divisors is an integer number (71317204000).

Almost surely, 213468148142336 is an apocalyptic number.

13468148142336 is a gapful number since it is divisible by the number (16) 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 13468148142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20539354752000).

13468148142336 is an abundant number, since it is smaller than the sum of its proper divisors (27610561361664).

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

13468148142336 is an frugal number, since it uses more digits than its factorization.

13468148142336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1746 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 13468148142336 in words is "thirteen trillion, four hundred sixty-eight billion, one hundred forty-eight million, one hundred forty-two thousand, three hundred thirty-six".