511642245408 has 192 divisors, whose sum is σ = 1639830205440. Its totient is φ = 136422392832.

The previous prime is 511642245379. The next prime is 511642245461. The reversal of 511642245408 is 804542246115.

It is a happy number.

It is a super-2 number, since 2×511642245408² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 511642245408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556410 + ... + 1154502.

It is an arithmetic number, because the mean of its divisors is an integer number (8540782320).

Almost surely, 2^511642245408 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 511642245408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819915102720).

511642245408 is an abundant number, since it is smaller than the sum of its proper divisors (1128187960032).

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

511642245408 is a wasteful number, since it uses less digits than its factorization.

511642245408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598199 (or 598191 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 511642245408 in words is "five hundred eleven billion, six hundred forty-two million, two hundred forty-five thousand, four hundred eight".