3603341151144 has 192 divisors, whose sum is σ = 11567704512000. Its totient is φ = 1029399274944.

The previous prime is 3603341151119. The next prime is 3603341151209. The reversal of 3603341151144 is 4411511433063.

3603341151144 is a `hidden beast` number, since 3 + 60 + 3 + 3 + 41 + 1 + 511 + 44 = 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 = 3603341151099 and 3603341151108.

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, 208289007 + ... + 208306305.

It is an arithmetic number, because the mean of its divisors is an integer number (60248461000).

Almost surely, 2^{3603341151144} 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 3603341151144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783852256000).

3603341151144 is an abundant number, since it is smaller than the sum of its proper divisors (7964363360856).

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

3603341151144 is a wasteful number, since it uses less digits than its factorization.

3603341151144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32634 (or 32618 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3603341151144 in words is "three trillion, six hundred three billion, three hundred forty-one million, one hundred fifty-one thousand, one hundred forty-four".