191391626464104 has 384 divisors, whose sum is σ = 557081709770880. Its totient is φ = 54299156889600.

The previous prime is 191391626464099. The next prime is 191391626464117. The reversal of 191391626464104 is 401464626193191.

It is a super-2 number, since 2×191391626464104² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1081629622 + ... + 1081806554.

It is an arithmetic number, because the mean of its divisors is an integer number (1450733619195).

Almost surely, 2^{191391626464104} 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 191391626464104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278540854885440).

191391626464104 is an abundant number, since it is smaller than the sum of its proper divisors (365690083306776).

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

191391626464104 is a wasteful number, since it uses less digits than its factorization.

191391626464104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177141 (or 177100 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 191391626464104 in words is "one hundred ninety-one trillion, three hundred ninety-one billion, six hundred twenty-six million, four hundred sixty-four thousand, one hundred four".