192649975644672 has 1920 divisors, whose sum is σ = 720745903595520. Its totient is φ = 49736460533760.

The previous prime is 192649975644671. The next prime is 192649975644703. The reversal of 192649975644672 is 276446579946291.

192649975644672 is a `hidden beast` number, since 1 + 9 + 2 + 6 + 4 + 9 + 9 + 7 + 564 + 46 + 7 + 2 = 666.

It is a super-2 number, since 2×192649975644672² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 192649975644591 and 192649975644600.

It is not an unprimeable number, because it can be changed into a prime (192649975644671) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211470883897 + ... + 211470884807.

It is an arithmetic number, because the mean of its divisors is an integer number (375388491456).

Almost surely, 2^{192649975644672} is an apocalyptic number.

192649975644672 is a gapful number since it is divisible by the number (12) 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 192649975644672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360372951797760).

192649975644672 is an abundant number, since it is smaller than the sum of its proper divisors (528095927950848).

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

192649975644672 is a wasteful number, since it uses less digits than its factorization.

192649975644672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1196 counting only the distinct ones).

The product of its digits is 9876142080, while the sum is 81.

The spelling of 192649975644672 in words is "one hundred ninety-two trillion, six hundred forty-nine billion, nine hundred seventy-five million, six hundred forty-four thousand, six hundred seventy-two".