166454231040 has 576 divisors, whose sum is σ = 619076908800. Its totient is φ = 42354081792.

The previous prime is 166454231039. The next prime is 166454231093. The reversal of 166454231040 is 40132454661.

166454231040 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 542 + 3 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×166454231040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 166454230986 and 166454231004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406978356 + ... + 406978764.

It is an arithmetic number, because the mean of its divisors is an integer number (1074786300).

Almost surely, 2^166454231040 is an apocalyptic number.

166454231040 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 166454231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309538454400).

166454231040 is an abundant number, since it is smaller than the sum of its proper divisors (452622677760).

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

166454231040 is an frugal number, since it uses more digits than its factorization.

166454231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 166454231040 in words is "one hundred sixty-six billion, four hundred fifty-four million, two hundred thirty-one thousand, forty".