4513112118900 has 1152 divisors, whose sum is σ = 18840714117120. Its totient is φ = 899361792000.

The previous prime is 4513112118847. The next prime is 4513112118929. The reversal of 4513112118900 is 98112113154.

4513112118900 is a `hidden beast` number, since 4 + 51 + 311 + 211 + 89 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 728270602 + ... + 728276798.

It is an arithmetic number, because the mean of its divisors is an integer number (16354786560).

Almost surely, 2^{4513112118900} 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 4513112118900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9420357058560).

4513112118900 is an abundant number, since it is smaller than the sum of its proper divisors (14327601998220).

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

4513112118900 is a wasteful number, since it uses less digits than its factorization.

4513112118900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 4513112118900 in words is "four trillion, five hundred thirteen billion, one hundred twelve million, one hundred eighteen thousand, nine hundred".