189199146240 has 432 divisors, whose sum is σ = 711612615168. Its totient is φ = 46132936704.

The previous prime is 189199146223. The next prime is 189199146281. The reversal of 189199146240 is 42641991981.

189199146240 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 9 + 9 + 1 + 4 + 624 + 0 = 666.

It is a super-2 number, since 2×189199146240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16018417 + ... + 16030223.

It is an arithmetic number, because the mean of its divisors is an integer number (1647251424).

Almost surely, 2^189199146240 is an apocalyptic number.

189199146240 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 189199146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355806307584).

189199146240 is an abundant number, since it is smaller than the sum of its proper divisors (522413468928).

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

189199146240 is a wasteful number, since it uses less digits than its factorization.

189199146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11954 (or 11937 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 189199146240 in words is "one hundred eighty-nine billion, one hundred ninety-nine million, one hundred forty-six thousand, two hundred forty".