191672446464 has 240 divisors, whose sum is σ = 604621480320. Its totient is φ = 58192035840.

The previous prime is 191672446463. The next prime is 191672446487. The reversal of 191672446464 is 464644276191.

191672446464 is a `hidden beast` number, since 1 + 91 + 6 + 72 + 446 + 46 + 4 = 666.

It is a super-2 number, since 2×191672446464² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 191672446464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191672446463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2388952 + ... + 2467880.

It is an arithmetic number, because the mean of its divisors is an integer number (2519256168).

Almost surely, 2^191672446464 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 191672446464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302310740160).

191672446464 is an abundant number, since it is smaller than the sum of its proper divisors (412949033856).

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

191672446464 is a wasteful number, since it uses less digits than its factorization.

191672446464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79001 (or 78982 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 191672446464 in words is "one hundred ninety-one billion, six hundred seventy-two million, four hundred forty-six thousand, four hundred sixty-four".