166482349670400 has 720 divisors, whose sum is σ = 557283216383040. Its totient is φ = 43848931737600.

The previous prime is 166482349670393. The next prime is 166482349670407. The reversal of 166482349670400 is 4076943284661.

It is an interprime number because it is at equal distance from previous prime (166482349670393) and next prime (166482349670407).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (166482349670407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76403096511 + ... + 76403098689.

Almost surely, 2^{166482349670400} is an apocalyptic number.

166482349670400 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 166482349670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278641608191520).

166482349670400 is an abundant number, since it is smaller than the sum of its proper divisors (390800866712640).

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

166482349670400 is an equidigital number, since it uses as much as digits as its factorization.

166482349670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 166482349670400 in words is "one hundred sixty-six trillion, four hundred eighty-two billion, three hundred forty-nine million, six hundred seventy thousand, four hundred".