187949464000 has 224 divisors, whose sum is σ = 482739192000. Its totient is φ = 72401817600.

The previous prime is 187949463967. The next prime is 187949464039. The reversal of 187949464000 is 464949781.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121335226 + ... + 121336774.

Almost surely, 2^187949464000 is an apocalyptic number.

187949464000 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 187949464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241369596000).

187949464000 is an abundant number, since it is smaller than the sum of its proper divisors (294789728000).

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

187949464000 is a wasteful number, since it uses less digits than its factorization.

187949464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 187949464000 in words is "one hundred eighty-seven billion, nine hundred forty-nine million, four hundred sixty-four thousand".