191919494014528 has 448 divisors, whose sum is σ = 466125571054080. Its totient is φ = 76698045186048.

The previous prime is 191919494014519. The next prime is 191919494014541. The reversal of 191919494014528 is 825410494919191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6489671550 + ... + 6489701122.

It is an arithmetic number, because the mean of its divisors is an integer number (1040458863960).

Almost surely, 2^{191919494014528} 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 191919494014528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233062785527040).

191919494014528 is an abundant number, since it is smaller than the sum of its proper divisors (274206077039552).

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

191919494014528 is a wasteful number, since it uses less digits than its factorization.

191919494014528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29854 (or 29844 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 67.

The spelling of 191919494014528 in words is "one hundred ninety-one trillion, nine hundred nineteen billion, four hundred ninety-four million, fourteen thousand, five hundred twenty-eight".