132311893561344 has 520 divisors, whose sum is σ = 478290631819968. Its totient is φ = 35579658240000.

The previous prime is 132311893561303. The next prime is 132311893561427. The reversal of 132311893561344 is 443165398113231.

132311893561344 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 18 + 9 + 3 + 5 + 613 + 4 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37805719 + ... + 41156969.

Almost surely, 2^{132311893561344} is an apocalyptic number.

132311893561344 is a gapful number since it is divisible by the number (14) 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 132311893561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239145315909984).

132311893561344 is an abundant number, since it is smaller than the sum of its proper divisors (345978738258624).

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

132311893561344 is an equidigital number, since it uses as much as digits as its factorization.

132311893561344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351311 (or 3351280 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 132311893561344 in words is "one hundred thirty-two trillion, three hundred eleven billion, eight hundred ninety-three million, five hundred sixty-one thousand, three hundred forty-four".