166963245120 has 1344 divisors, whose sum is σ = 730235450880. Its totient is φ = 34136653824.

The previous prime is 166963245107. The next prime is 166963245133. The reversal of 166963245120 is 21542369661.

166963245120 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 632 + 4 + 5 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (166963245107) and next prime (166963245133).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1063460082 + ... + 1063460238.

Almost surely, 2^166963245120 is an apocalyptic number.

166963245120 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 166963245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365117725440).

166963245120 is an abundant number, since it is smaller than the sum of its proper divisors (563272205760).

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

166963245120 is a wasteful number, since it uses less digits than its factorization.

166963245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 166963245120 in words is "one hundred sixty-six billion, nine hundred sixty-three million, two hundred forty-five thousand, one hundred twenty".