165167147029248 has 1728 divisors, whose sum is σ = 618773703475200. Its totient is φ = 42779846393856.

The previous prime is 165167147029219. The next prime is 165167147029271. The reversal of 165167147029248 is 842920741761561.

It is a happy number.

165167147029248 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 6 + 71 + 470 + 2 + 92 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227190023061 + ... + 227190023787.

Almost surely, 2^{165167147029248} is an apocalyptic number.

165167147029248 is a gapful number since it is divisible by the number (18) 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 165167147029248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309386851737600).

165167147029248 is an abundant number, since it is smaller than the sum of its proper divisors (453606556445952).

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

165167147029248 is an equidigital number, since it uses as much as digits as its factorization.

165167147029248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 165167147029248 in words is "one hundred sixty-five trillion, one hundred sixty-seven billion, one hundred forty-seven million, twenty-nine thousand, two hundred forty-eight".