6111630900144 has 240 divisors, whose sum is σ = 21382684277760. Its totient is φ = 1583110103040.

The previous prime is 6111630900113. The next prime is 6111630900209. The reversal of 6111630900144 is 4410090361116.

6111630900144 is a `hidden beast` number, since 6 + 1 + 1 + 1 + 630 + 9 + 0 + 0 + 14 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6111630900099 and 6111630900108.

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, 3318352 + ... + 4820240.

It is an arithmetic number, because the mean of its divisors is an integer number (89094517824).

Almost surely, 2^{6111630900144} 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 6111630900144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10691342138880).

6111630900144 is an abundant number, since it is smaller than the sum of its proper divisors (15271053377616).

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

6111630900144 is a wasteful number, since it uses less digits than its factorization.

6111630900144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502288 (or 1502279 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 6111630900144 in words is "six trillion, one hundred eleven billion, six hundred thirty million, nine hundred thousand, one hundred forty-four".