197225244278400 has 1536 divisors, whose sum is σ = 737623164096000. Its totient is φ = 45954178744320.

The previous prime is 197225244278357. The next prime is 197225244278443. The reversal of 197225244278400 is 4872442522791.

It is an interprime number because it is at equal distance from previous prime (197225244278357) and next prime (197225244278443).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 176566914642 + ... + 176566915758.

It is an arithmetic number, because the mean of its divisors is an integer number (480223414125).

Almost surely, 2^{197225244278400} is an apocalyptic number.

197225244278400 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 197225244278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368811582048000).

197225244278400 is an abundant number, since it is smaller than the sum of its proper divisors (540397919817600).

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

197225244278400 is a wasteful number, since it uses less digits than its factorization.

197225244278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 197225244278400 in words is "one hundred ninety-seven trillion, two hundred twenty-five billion, two hundred forty-four million, two hundred seventy-eight thousand, four hundred".