191493088416 has 192 divisors, whose sum is σ = 647055763200. Its totient is φ = 53962702848.

The previous prime is 191493088403. The next prime is 191493088417. The reversal of 191493088416 is 614880394191.

191493088416 is a `hidden beast` number, since 1 + 9 + 149 + 3 + 0 + 88 + 416 = 666.

It is a super-2 number, since 2×191493088416² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (191493088417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224640 + ... + 658368.

It is an arithmetic number, because the mean of its divisors is an integer number (3370082100).

Almost surely, 2^191493088416 is an apocalyptic number.

191493088416 is a gapful number since it is divisible by the number (16) 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 191493088416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323527881600).

191493088416 is an abundant number, since it is smaller than the sum of its proper divisors (455562674784).

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

191493088416 is a wasteful number, since it uses less digits than its factorization.

191493088416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433828 (or 433814 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 191493088416 in words is "one hundred ninety-one billion, four hundred ninety-three million, eighty-eight thousand, four hundred sixteen".