1341893512872 has 384 divisors, whose sum is σ = 4289067417600. Its totient is φ = 387958032000.

The previous prime is 1341893512837. The next prime is 1341893512879. The reversal of 1341893512872 is 2782153981431.

1341893512872 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 8 + 9 + 351 + 287 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1341893512879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57513673 + ... + 57536999.

It is an arithmetic number, because the mean of its divisors is an integer number (11169446400).

Almost surely, 2^{1341893512872} is an apocalyptic number.

1341893512872 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 1341893512872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144533708800).

1341893512872 is an abundant number, since it is smaller than the sum of its proper divisors (2947173904728).

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

1341893512872 is a wasteful number, since it uses less digits than its factorization.

1341893512872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23466 (or 23445 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 1341893512872 in words is "one trillion, three hundred forty-one billion, eight hundred ninety-three million, five hundred twelve thousand, eight hundred seventy-two".