165970451814400 has 576 divisors, whose sum is σ = 447652348416000. Its totient is φ = 60795165081600.

The previous prime is 165970451814371. The next prime is 165970451814469. The reversal of 165970451814400 is 4418154079561.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31332912552 + ... + 31332917848.

It is an arithmetic number, because the mean of its divisors is an integer number (777174216000).

Almost surely, 2^{165970451814400} is an apocalyptic number.

165970451814400 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 165970451814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223826174208000).

165970451814400 is an abundant number, since it is smaller than the sum of its proper divisors (281681896601600).

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

165970451814400 is a wasteful number, since it uses less digits than its factorization.

165970451814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 165970451814400 in words is "one hundred sixty-five trillion, nine hundred seventy billion, four hundred fifty-one million, eight hundred fourteen thousand, four hundred".