191949381120 has 640 divisors, whose sum is σ = 729724723200. Its totient is φ = 42119331840.

The previous prime is 191949381109. The next prime is 191949381157. The reversal of 191949381120 is 21183949191.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 191949381120.

It is a congruent number.

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, 248317054 + ... + 248317826.

It is an arithmetic number, because the mean of its divisors is an integer number (1140194880).

Almost surely, 2^191949381120 is an apocalyptic number.

191949381120 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 191949381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364862361600).

191949381120 is an abundant number, since it is smaller than the sum of its proper divisors (537775342080).

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

191949381120 is a wasteful number, since it uses less digits than its factorization.

191949381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 48.

The spelling of 191949381120 in words is "one hundred ninety-one billion, nine hundred forty-nine million, three hundred eighty-one thousand, one hundred twenty".