131646416442880 has 320 divisors, whose sum is σ = 321651627264000. Its totient is φ = 51665215979520.

The previous prime is 131646416442823. The next prime is 131646416442913. The reversal of 131646416442880 is 88244614646131.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42700749819 + ... + 42700752901.

It is an arithmetic number, because the mean of its divisors is an integer number (1005161335200).

Almost surely, 2^{131646416442880} is an apocalyptic number.

131646416442880 is a gapful number since it is divisible by the number (10) 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 131646416442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160825813632000).

131646416442880 is an abundant number, since it is smaller than the sum of its proper divisors (190005210821120).

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

131646416442880 is a wasteful number, since it uses less digits than its factorization.

131646416442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 58.

The spelling of 131646416442880 in words is "one hundred thirty-one trillion, six hundred forty-six billion, four hundred sixteen million, four hundred forty-two thousand, eight hundred eighty".