131619406464 has 1152 divisors, whose sum is σ = 502787376000. Its totient is φ = 34237292544.

The previous prime is 131619406411. The next prime is 131619406487. The reversal of 131619406464 is 464604916131.

131619406464 is a `hidden beast` number, since 131 + 6 + 19 + 40 + 6 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1803005532 + ... + 1803005604.

It is an arithmetic number, because the mean of its divisors is an integer number (436447375).

Almost surely, 2^131619406464 is an apocalyptic number.

131619406464 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 131619406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251393688000).

131619406464 is an abundant number, since it is smaller than the sum of its proper divisors (371167969536).

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

131619406464 is an frugal number, since it uses more digits than its factorization.

131619406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 131619406464 in words is "one hundred thirty-one billion, six hundred nineteen million, four hundred six thousand, four hundred sixty-four".