192148713050112 has 4160 divisors, whose sum is σ = 801597636854784. Its totient is φ = 44397043384320.

The previous prime is 192148713050101. The next prime is 192148713050123. The reversal of 192148713050112 is 211050317841291.

192148713050112 is a `hidden beast` number, since 1 + 9 + 2 + 1 + 4 + 8 + 7 + 130 + 501 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (192148713050101) and next prime (192148713050123).

It is a super-2 number, since 2×192148713050112² (a number of 29 digits) contains 22 as substring.

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 319 ways as a sum of consecutive naturals, for example, 484001795898 + ... + 484001796294.

Almost surely, 2^{192148713050112} is an apocalyptic number.

192148713050112 is a gapful number since it is divisible by the number (12) 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 192148713050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400798818427392).

192148713050112 is an abundant number, since it is smaller than the sum of its proper divisors (609448923804672).

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

192148713050112 is a wasteful number, since it uses less digits than its factorization.

192148713050112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 192148713050112 in words is "one hundred ninety-two trillion, one hundred forty-eight billion, seven hundred thirteen million, fifty thousand, one hundred twelve".