646114016100 has 72 divisors (see below), whose sum is σ = 2136483686848. Its totient is φ = 147683203200.

The previous prime is 646114016087. The next prime is 646114016101. The reversal of 646114016100 is 1610411646.

It is a super-3 number, since 3×646114016100³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (646114016101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153834571 + ... + 153838770.

Almost surely, 2^646114016100 is an apocalyptic number.

646114016100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

646114016100 is an abundant number, since it is smaller than the sum of its proper divisors (1490369670748).

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

646114016100 is a wasteful number, since it uses less digits than its factorization.

646114016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307673365 (or 307673358 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 646114016100 its reverse (1610411646), we get a palindrome (647724427746).

The spelling of 646114016100 in words is "six hundred forty-six billion, one hundred fourteen million, sixteen thousand, one hundred".