166014238093704 has 2560 divisors, whose sum is σ = 671916833280000. Its totient is φ = 36870661693440.

The previous prime is 166014238093637. The next prime is 166014238093741. The reversal of 166014238093704 is 407390832410661.

166014238093704 is a `hidden beast` number, since 1 + 6 + 60 + 1 + 423 + 8 + 0 + 93 + 70 + 4 = 666.

166014238093704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×166014238093704³ (a number of 44 digits) contains 333 as substring.

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 639 ways as a sum of consecutive naturals, for example, 166513778934 + ... + 166513779930.

It is an arithmetic number, because the mean of its divisors is an integer number (262467513000).

Almost surely, 2^{166014238093704} is an apocalyptic number.

166014238093704 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 166014238093704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335958416640000).

166014238093704 is an abundant number, since it is smaller than the sum of its proper divisors (505902595186296).

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

166014238093704 is a wasteful number, since it uses less digits than its factorization.

166014238093704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 166014238093704 in words is "one hundred sixty-six trillion, fourteen billion, two hundred thirty-eight million, ninety-three thousand, seven hundred four".