164950881996672 has 768 divisors, whose sum is σ = 496919083227840. Its totient is φ = 52475904000000.

The previous prime is 164950881996631. The next prime is 164950881996673. The reversal of 164950881996672 is 276699188059461.

164950881996672 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 508 + 8 + 19 + 96 + 6 + 7 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 164950881996591 and 164950881996600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164950881996673) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316604379772 + ... + 316604380292.

Almost surely, 2^{164950881996672} is an apocalyptic number.

164950881996672 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 164950881996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248459541613920).

164950881996672 is an abundant number, since it is smaller than the sum of its proper divisors (331968201231168).

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

164950881996672 is a wasteful number, since it uses less digits than its factorization.

164950881996672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 2821754880, while the sum is 81.

The spelling of 164950881996672 in words is "one hundred sixty-four trillion, nine hundred fifty billion, eight hundred eighty-one million, nine hundred ninety-six thousand, six hundred seventy-two".