196854042831264 has 1152 divisors, whose sum is σ = 724715878118400. Its totient is φ = 51526312427520.

The previous prime is 196854042831233. The next prime is 196854042831283. The reversal of 196854042831264 is 462138240458691.

196854042831264 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 540 + 4 + 2 + 83 + 1 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41697528424 + ... + 41697533144.

It is an arithmetic number, because the mean of its divisors is an integer number (629093644200).

Almost surely, 2^{196854042831264} is an apocalyptic number.

196854042831264 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 196854042831264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362357939059200).

196854042831264 is an abundant number, since it is smaller than the sum of its proper divisors (527861835287136).

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

196854042831264 is a wasteful number, since it uses less digits than its factorization.

196854042831264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5323 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 196854042831264 in words is "one hundred ninety-six trillion, eight hundred fifty-four billion, forty-two million, eight hundred thirty-one thousand, two hundred sixty-four".