197845148712960 has 3840 divisors, whose sum is σ = 896399426764800. Its totient is φ = 40978975555584.

The previous prime is 197845148712949. The next prime is 197845148713027. The reversal of 197845148712960 is 69217841548791.

197845148712960 is a `hidden beast` number, since 1 + 9 + 7 + 8 + 4 + 51 + 487 + 1 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8601962987509 + ... + 8601962987531.

It is an arithmetic number, because the mean of its divisors is an integer number (233437350720).

Almost surely, 2^{197845148712960} is an apocalyptic number.

197845148712960 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 197845148712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448199713382400).

197845148712960 is an abundant number, since it is smaller than the sum of its proper divisors (698554278051840).

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

197845148712960 is an frugal number, since it uses more digits than its factorization.

197845148712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 197845148712960 in words is "one hundred ninety-seven trillion, eight hundred forty-five billion, one hundred forty-eight million, seven hundred twelve thousand, nine hundred sixty".