46011117100 has 144 divisors (see below), whose sum is σ = 114020077248. Its totient is φ = 15965429760.

The previous prime is 46011116993. The next prime is 46011117107. The reversal of 46011117100 is 171111064.

It is not an unprimeable number, because it can be changed into a prime (46011117107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21369624 + ... + 21371776.

It is an arithmetic number, because the mean of its divisors is an integer number (791806092).

Almost surely, 2^46011117100 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 46011117100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57010038624).

46011117100 is an abundant number, since it is smaller than the sum of its proper divisors (68008960148).

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

46011117100 is a wasteful number, since it uses less digits than its factorization.

46011117100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 46011117100 its reverse (171111064), we get a palindrome (46182228164).

The spelling of 46011117100 in words is "forty-six billion, eleven million, one hundred seventeen thousand, one hundred".