168748084493100 has 504 divisors, whose sum is σ = 630707275171680. Its totient is φ = 38371118653440.

The previous prime is 168748084493077. The next prime is 168748084493101. The reversal of 168748084493100 is 1394480847861.

168748084493100 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 4 + 80 + 8 + 449 + 3 + 100 = 666.

It is a super-2 number, since 2×168748084493100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (168748084493101) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 97631206 + ... + 99344594.

Almost surely, 2^{168748084493100} is an apocalyptic number.

168748084493100 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 168748084493100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315353637585840).

168748084493100 is an abundant number, since it is smaller than the sum of its proper divisors (461959190678580).

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

168748084493100 is a wasteful number, since it uses less digits than its factorization.

168748084493100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713621 (or 1713599 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 168748084493100 in words is "one hundred sixty-eight trillion, seven hundred forty-eight billion, eighty-four million, four hundred ninety-three thousand, one hundred".