1371235485312 has 2304 divisors, whose sum is σ = 5612755599360. Its totient is φ = 325173657600.

The previous prime is 1371235485259. The next prime is 1371235485313. The reversal of 1371235485312 is 2135845321731.

1371235485312 is a `hidden beast` number, since 1 + 3 + 71 + 2 + 3 + 5 + 48 + 531 + 2 = 666.

Its product of digits (604800) is a multiple of the sum of its prime divisors (150).

It is not an unprimeable number, because it can be changed into a prime (1371235485313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18784047708 + ... + 18784047780.

It is an arithmetic number, because the mean of its divisors is an integer number (2436091840).

Almost surely, 2^{1371235485312} is an apocalyptic number.

1371235485312 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 1371235485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806377799680).

1371235485312 is an abundant number, since it is smaller than the sum of its proper divisors (4241520114048).

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

1371235485312 is a wasteful number, since it uses less digits than its factorization.

1371235485312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 150 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 1371235485312 in words is "one trillion, three hundred seventy-one billion, two hundred thirty-five million, four hundred eighty-five thousand, three hundred twelve".