166112291649024 has 560 divisors, whose sum is σ = 602165296374048. Its totient is φ = 44668839591936.

The previous prime is 166112291649023. The next prime is 166112291649049. The reversal of 166112291649024 is 420946192211661.

166112291649024 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 122 + 9 + 1 + 6 + 490 + 24 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166112291649023) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 42546574 + ... + 46286450.

Almost surely, 2^{166112291649024} is an apocalyptic number.

166112291649024 is a gapful number since it is divisible by the number (14) 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 166112291649024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301082648187024).

166112291649024 is an abundant number, since it is smaller than the sum of its proper divisors (436053004725024).

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

166112291649024 is an frugal number, since it uses more digits than its factorization.

166112291649024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739937 (or 3739906 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 166112291649024 in words is "one hundred sixty-six trillion, one hundred twelve billion, two hundred ninety-one million, six hundred forty-nine thousand, twenty-four".