61818113206800 has 3360 divisors, whose sum is σ = 253264055491584. Its totient is φ = 14422302720000.

The previous prime is 61818113206781. The next prime is 61818113206807. The reversal of 61818113206800 is 860231181816.

61818113206800 is a `hidden beast` number, since 618 + 1 + 8 + 1 + 1 + 3 + 20 + 6 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61818113206807) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 612060526750 + ... + 612060526850.

Almost surely, 2^{61818113206800} is an apocalyptic number.

61818113206800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61818113206800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126632027745792).

61818113206800 is an abundant number, since it is smaller than the sum of its proper divisors (191445942284784).

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

61818113206800 is a wasteful number, since it uses less digits than its factorization.

61818113206800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 61818113206800 in words is "sixty-one trillion, eight hundred eighteen billion, one hundred thirteen million, two hundred six thousand, eight hundred".