166349652480 has 640 divisors, whose sum is σ = 649716629760. Its totient is φ = 40007761920.

The previous prime is 166349652431. The next prime is 166349652503. The reversal of 166349652480 is 84256943661.

166349652480 is a `hidden beast` number, since 1 + 6 + 6 + 34 + 9 + 6 + 524 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104163042 + ... + 104164638.

It is an arithmetic number, because the mean of its divisors is an integer number (1015182234).

Almost surely, 2^166349652480 is an apocalyptic number.

166349652480 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 166349652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324858314880).

166349652480 is an abundant number, since it is smaller than the sum of its proper divisors (483366977280).

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

166349652480 is a wasteful number, since it uses less digits than its factorization.

166349652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 166349652480 in words is "one hundred sixty-six billion, three hundred forty-nine million, six hundred fifty-two thousand, four hundred eighty".