4557686100 has 144 divisors (see below), whose sum is σ = 14720724480. Its totient is φ = 1079164800.

The previous prime is 4557686093. The next prime is 4557686131. The reversal of 4557686100 is 16867554.

It is a super-2 number, since 2×4557686100² = 41545005172266420000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125841 + ... + 157959.

Almost surely, 2^4557686100 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 4557686100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360362240).

4557686100 is an abundant number, since it is smaller than the sum of its proper divisors (10163038380).

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

4557686100 is a wasteful number, since it uses less digits than its factorization.

4557686100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32190 (or 32183 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 4557686100 is about 67510.6369396705. The cubic root of 4557686100 is about 1657.9883334622.

The spelling of 4557686100 in words is "four billion, five hundred fifty-seven million, six hundred eighty-six thousand, one hundred".