3455125516044 has 144 divisors (see below), whose sum is σ = 9002536478208. Its totient is φ = 1116766894464.

The previous prime is 3455125515967. The next prime is 3455125516067. The reversal of 3455125516044 is 4406155215543.

3455125516044 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 125 + 516 + 0 + 4 + 4 = 666.

3455125516044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 92159727 + ... + 92197209.

It is an arithmetic number, because the mean of its divisors is an integer number (62517614432).

Almost surely, 2^{3455125516044} 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 3455125516044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501268239104).

3455125516044 is an abundant number, since it is smaller than the sum of its proper divisors (5547410962164).

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

3455125516044 is a wasteful number, since it uses less digits than its factorization.

3455125516044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38044 (or 38039 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 3455125516044 in words is "three trillion, four hundred fifty-five billion, one hundred twenty-five million, five hundred sixteen thousand, forty-four".