191385829000 has 64 divisors (see below), whose sum is σ = 467314323840. Its totient is φ = 73225873600.

The previous prime is 191385828917. The next prime is 191385829003. The reversal of 191385829000 is 928583191.

It is a super-3 number, since 3×191385829000³ (a number of 35 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (191385829003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4137562 + ... + 4183561.

It is an arithmetic number, because the mean of its divisors is an integer number (7301786310).

Almost surely, 2^191385829000 is an apocalyptic number.

191385829000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

191385829000 is an abundant number, since it is smaller than the sum of its proper divisors (275928494840).

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

191385829000 is a wasteful number, since it uses less digits than its factorization.

191385829000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8321167 (or 8321153 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The spelling of 191385829000 in words is "one hundred ninety-one billion, three hundred eighty-five million, eight hundred twenty-nine thousand".