166101153151164 has 192 divisors, whose sum is σ = 490409934077952. Its totient is φ = 42500706393600.

The previous prime is 166101153151151. The next prime is 166101153151183. The reversal of 166101153151164 is 461151351101661.

It is a happy number.

166101153151164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 79198584 + ... + 81268800.

It is an arithmetic number, because the mean of its divisors is an integer number (2554218406656).

Almost surely, 2^{166101153151164} is an apocalyptic number.

166101153151164 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 166101153151164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245204967038976).

166101153151164 is an abundant number, since it is smaller than the sum of its proper divisors (324308780926788).

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

166101153151164 is a wasteful number, since it uses less digits than its factorization.

166101153151164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071536 (or 2071534 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The spelling of 166101153151164 in words is "one hundred sixty-six trillion, one hundred one billion, one hundred fifty-three million, one hundred fifty-one thousand, one hundred sixty-four".