4626432506016 has 432 divisors, whose sum is σ = 13887650387520. Its totient is φ = 1460777472000.

The previous prime is 4626432505999. The next prime is 4626432506063. The reversal of 4626432506016 is 6106052346264.

It is a happy number.

4626432506016 is a `hidden beast` number, since 4 + 6 + 2 + 6 + 4 + 32 + 5 + 0 + 601 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12886998445 + ... + 12886998803.

It is an arithmetic number, because the mean of its divisors is an integer number (32147338860).

Almost surely, 2^{4626432506016} is an apocalyptic number.

4626432506016 is a gapful number since it is divisible by the number (46) 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 4626432506016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943825193760).

4626432506016 is an abundant number, since it is smaller than the sum of its proper divisors (9261217881504).

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

4626432506016 is a wasteful number, since it uses less digits than its factorization.

4626432506016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 4626432506016 in words is "four trillion, six hundred twenty-six billion, four hundred thirty-two million, five hundred six thousand, sixteen".