191466861264 has 320 divisors, whose sum is σ = 642728148480. Its totient is φ = 53439160320.

The previous prime is 191466861263. The next prime is 191466861307. The reversal of 191466861264 is 462168664191.

191466861264 is a `hidden beast` number, since 1 + 9 + 14 + 6 + 6 + 8 + 612 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 191466861264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191466861263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38623074 + ... + 38628030.

It is an arithmetic number, because the mean of its divisors is an integer number (2008525464).

Almost surely, 2^191466861264 is an apocalyptic number.

191466861264 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 191466861264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321364074240).

191466861264 is an abundant number, since it is smaller than the sum of its proper divisors (451261287216).

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

191466861264 is a wasteful number, since it uses less digits than its factorization.

191466861264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275 (or 5263 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 191466861264 in words is "one hundred ninety-one billion, four hundred sixty-six million, eight hundred sixty-one thousand, two hundred sixty-four".