195442851456 has 256 divisors, whose sum is σ = 604657468800. Its totient is φ = 62078607360.

The previous prime is 195442851449. The next prime is 195442851467. The reversal of 195442851456 is 654158244591.

It is a happy number.

195442851456 is a `hidden beast` number, since 1 + 9 + 54 + 4 + 28 + 514 + 56 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

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, 6076890 + ... + 6108966.

Almost surely, 2^195442851456 is an apocalyptic number.

195442851456 is a gapful number since it is divisible by the number (16) 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 195442851456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302328734400).

195442851456 is an abundant number, since it is smaller than the sum of its proper divisors (409214617344).

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

195442851456 is a wasteful number, since it uses less digits than its factorization.

195442851456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32184 (or 32166 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 195442851456 in words is "one hundred ninety-five billion, four hundred forty-two million, eight hundred fifty-one thousand, four hundred fifty-six".