191214943920 has 1600 divisors, whose sum is σ = 914701455360. Its totient is φ = 35732275200.

The previous prime is 191214943897. The next prime is 191214943939. The reversal of 191214943920 is 29349412191.

191214943920 is a `hidden beast` number, since 1 + 9 + 121 + 494 + 39 + 2 + 0 = 666.

191214943920 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 265945321 + ... + 265946039.

Almost surely, 2^191214943920 is an apocalyptic number.

191214943920 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 191214943920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457350727680).

191214943920 is an abundant number, since it is smaller than the sum of its proper divisors (723486511440).

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

191214943920 is a wasteful number, since it uses less digits than its factorization.

191214943920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 191214943920 in words is "one hundred ninety-one billion, two hundred fourteen million, nine hundred forty-three thousand, nine hundred twenty".