131674222848000 has 768 divisors, whose sum is σ = 500996373696000. Its totient is φ = 30078625382400.

The previous prime is 131674222847969. The next prime is 131674222848011. The reversal of 131674222848000 is 848222476131.

131674222848000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×131674222848000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 10090745476 + ... + 10090758524.

It is an arithmetic number, because the mean of its divisors is an integer number (652339028250).

Almost surely, 2^{131674222848000} is an apocalyptic number.

131674222848000 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 131674222848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250498186848000).

131674222848000 is an abundant number, since it is smaller than the sum of its proper divisors (369322150848000).

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

131674222848000 is a wasteful number, since it uses less digits than its factorization.

131674222848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14973 (or 14943 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 131674222848000 in words is "one hundred thirty-one trillion, six hundred seventy-four billion, two hundred twenty-two million, eight hundred forty-eight thousand".