166949149963392 has 448 divisors, whose sum is σ = 527304021189120. Its totient is φ = 52541001216000.

The previous prime is 166949149963373. The next prime is 166949149963411. The reversal of 166949149963392 is 293369941949661.

166949149963392 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 4 + 9 + 1 + 499 + 6 + 33 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (166949149963373) and next prime (166949149963411).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 117895717 + ... + 119303387.

It is an arithmetic number, because the mean of its divisors is an integer number (1177017904440).

Almost surely, 2^{166949149963392} is an apocalyptic number.

166949149963392 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 166949149963392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263652010594560).

166949149963392 is an abundant number, since it is smaller than the sum of its proper divisors (360354871225728).

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

166949149963392 is an equidigital number, since it uses as much as digits as its factorization.

166949149963392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407775 (or 1407748 counting only the distinct ones).

The product of its digits is 3673320192, while the sum is 81.

The spelling of 166949149963392 in words is "one hundred sixty-six trillion, nine hundred forty-nine billion, one hundred forty-nine million, nine hundred sixty-three thousand, three hundred ninety-two".