196151410491264 has 960 divisors, whose sum is σ = 630026344332000. Its totient is φ = 60556711034880.

The previous prime is 196151410491263. The next prime is 196151410491301. The reversal of 196151410491264 is 462194014151691.

196151410491264 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 5 + 141 + 0 + 491 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 196151410491264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196151410491263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 140208298437 + ... + 140208299835.

Almost surely, 2^{196151410491264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196151410491264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315013172166000).

196151410491264 is an abundant number, since it is smaller than the sum of its proper divisors (433874933840736).

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

196151410491264 is a wasteful number, since it uses less digits than its factorization.

196151410491264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 196151410491264 in words is "one hundred ninety-six trillion, one hundred fifty-one billion, four hundred ten million, four hundred ninety-one thousand, two hundred sixty-four".