165414451129920 has 448 divisors, whose sum is σ = 614581612185600. Its totient is φ = 41766921492480.

The previous prime is 165414451129861. The next prime is 165414451129937. The reversal of 165414451129920 is 29921154414561.

165414451129920 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 14 + 4 + 511 + 2 + 99 + 20 = 666.

It is a super-2 number, since 2×165414451129920² (a number of 29 digits) contains 22 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 63 ways as a sum of consecutive naturals, for example, 312788925 + ... + 313317315.

Almost surely, 2^{165414451129920} is an apocalyptic number.

165414451129920 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 165414451129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307290806092800).

165414451129920 is an abundant number, since it is smaller than the sum of its proper divisors (449167161055680).

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

165414451129920 is a wasteful number, since it uses less digits than its factorization.

165414451129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530343 (or 530327 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 165414451129920 in words is "one hundred sixty-five trillion, four hundred fourteen billion, four hundred fifty-one million, one hundred twenty-nine thousand, nine hundred twenty".