192648729000 has 512 divisors, whose sum is σ = 757021224960. Its totient is φ = 39699072000.

The previous prime is 192648728983. The next prime is 192648729047. The reversal of 192648729000 is 927846291.

It is a super-2 number, since 2×192648729000² (a number of 23 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 11730795 + ... + 11747205.

It is an arithmetic number, because the mean of its divisors is an integer number (1478557080).

Almost surely, 2^192648729000 is an apocalyptic number.

192648729000 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 192648729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378510612480).

192648729000 is an abundant number, since it is smaller than the sum of its proper divisors (564372495960).

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

192648729000 is a wasteful number, since it uses less digits than its factorization.

192648729000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16498 (or 16484 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 192648729000 in words is "one hundred ninety-two billion, six hundred forty-eight million, seven hundred twenty-nine thousand".