511211446164 has 72 divisors (see below), whose sum is σ = 1329815396000. Its totient is φ = 165465830592.

The previous prime is 511211446139. The next prime is 511211446181. The reversal of 511211446164 is 461644112115.

511211446164 is a `hidden beast` number, since 5 + 1 + 1 + 21 + 14 + 4 + 616 + 4 = 666.

It is a super-2 number, since 2×511211446164² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280107 + ... + 1049229.

Almost surely, 2^511211446164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511211446164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664907698000).

511211446164 is an abundant number, since it is smaller than the sum of its proper divisors (818603949836).

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

511211446164 is a wasteful number, since it uses less digits than its factorization.

511211446164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769669 (or 769664 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

Adding to 511211446164 its reverse (461644112115), we get a palindrome (972855558279).

The spelling of 511211446164 in words is "five hundred eleven billion, two hundred eleven million, four hundred forty-six thousand, one hundred sixty-four".