191949912000 has 1120 divisors, whose sum is σ = 885564066816. Its totient is φ = 39875328000.

The previous prime is 191949911999. The next prime is 191949912019. The reversal of 191949912000 is 219949191.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49894077 + ... + 49897923.

Almost surely, 2^191949912000 is an apocalyptic number.

191949912000 is a gapful number since it is divisible by the number (10) 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 191949912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442782033408).

191949912000 is an abundant number, since it is smaller than the sum of its proper divisors (693614154816).

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

191949912000 is a wasteful number, since it uses less digits than its factorization.

191949912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 191949912000 in words is "one hundred ninety-one billion, nine hundred forty-nine million, nine hundred twelve thousand".