196117254144 has 624 divisors, whose sum is σ = 680809708800. Its totient is φ = 53211561984.

The previous prime is 196117254143. The next prime is 196117254169. The reversal of 196117254144 is 441452711691.

196117254144 is a `hidden beast` number, since 1 + 9 + 61 + 1 + 7 + 2 + 541 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 196117254144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196117254143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 546287437 + ... + 546287795.

It is an arithmetic number, because the mean of its divisors is an integer number (1091041200).

Almost surely, 2^196117254144 is an apocalyptic number.

196117254144 is a gapful number since it is divisible by the number (14) 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 196117254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340404854400).

196117254144 is an abundant number, since it is smaller than the sum of its proper divisors (484692454656).

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

196117254144 is a wasteful number, since it uses less digits than its factorization.

196117254144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 473 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 196117254144 in words is "one hundred ninety-six billion, one hundred seventeen million, two hundred fifty-four thousand, one hundred forty-four".