3553152045144 has 512 divisors, whose sum is σ = 11191132108800. Its totient is φ = 926933483520.

The previous prime is 3553152045083. The next prime is 3553152045227. The reversal of 3553152045144 is 4415402513553.

It is a junction number, because it is equal to n+sod(n) for n = 3553152045096 and 3553152045105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 400983274 + ... + 400992134.

It is an arithmetic number, because the mean of its divisors is an integer number (21857679900).

Almost surely, 2^{3553152045144} is an apocalyptic number.

3553152045144 is a gapful number since it is divisible by the number (34) 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 3553152045144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595566054400).

3553152045144 is an abundant number, since it is smaller than the sum of its proper divisors (7637980063656).

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

3553152045144 is a wasteful number, since it uses less digits than its factorization.

3553152045144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9115 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

Adding to 3553152045144 its reverse (4415402513553), we get a palindrome (7968554558697).

The spelling of 3553152045144 in words is "three trillion, five hundred fifty-three billion, one hundred fifty-two million, forty-five thousand, one hundred forty-four".