131864076658944 has 576 divisors, whose sum is σ = 465570543943680. Its totient is φ = 36020800880640.

The previous prime is 131864076658927. The next prime is 131864076658961. The reversal of 131864076658944 is 449856670468131.

131864076658944 is a `hidden beast` number, since 1 + 3 + 1 + 86 + 407 + 6 + 6 + 58 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (131864076658927) and next prime (131864076658961).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123962424 + ... + 125021640.

Almost surely, 2^{131864076658944} is an apocalyptic number.

131864076658944 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 131864076658944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232785271971840).

131864076658944 is an abundant number, since it is smaller than the sum of its proper divisors (333706467284736).

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

131864076658944 is a wasteful number, since it uses less digits than its factorization.

131864076658944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059363 (or 1059343 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 131864076658944 in words is "one hundred thirty-one trillion, eight hundred sixty-four billion, seventy-six million, six hundred fifty-eight thousand, nine hundred forty-four".