197493414508320 has 3072 divisors, whose sum is σ = 838745387827200. Its totient is φ = 37975983390720.

The previous prime is 197493414508309. The next prime is 197493414508387. The reversal of 197493414508320 is 23805414394791.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 238230897666 + ... + 238230898494.

It is an arithmetic number, because the mean of its divisors is an integer number (273029097600).

Almost surely, 2^{197493414508320} is an apocalyptic number.

197493414508320 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 197493414508320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419372693913600).

197493414508320 is an abundant number, since it is smaller than the sum of its proper divisors (641251973318880).

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

197493414508320 is a wasteful number, since it uses less digits than its factorization.

197493414508320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 197493414508320 in words is "one hundred ninety-seven trillion, four hundred ninety-three billion, four hundred fourteen million, five hundred eight thousand, three hundred twenty".