4661211834100 has 36 divisors (see below), whose sum is σ = 10182714475500. Its totient is φ = 1851971407360.

The previous prime is 4661211834043. The next prime is 4661211834121. The reversal of 4661211834100 is 14381121664.

It can be written as a sum of positive squares in 6 ways, for example, as 20582493156 + 4640629340944 = 143466^2 + 2154212^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4661211834100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156401605 + ... + 156431404.

It is an arithmetic number, because the mean of its divisors is an integer number (282853179875).

Almost surely, 2^{4661211834100} is an apocalyptic number.

It is an amenable number.

4661211834100 is an abundant number, since it is smaller than the sum of its proper divisors (5521502641400).

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

4661211834100 is a wasteful number, since it uses less digits than its factorization.

4661211834100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312833172 (or 312833165 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

Adding to 4661211834100 its reverse (14381121664), we get a palindrome (4675592955764).

The spelling of 4661211834100 in words is "four trillion, six hundred sixty-one billion, two hundred eleven million, eight hundred thirty-four thousand, one hundred".