2045125343544 has 128 divisors (see below), whose sum is σ = 5481455328000. Its totient is φ = 633916800000.

The previous prime is 2045125343519. The next prime is 2045125343561. The reversal of 2045125343544 is 4453435215402.

It is a junction number, because it is equal to n+sod(n) for n = 2045125343496 and 2045125343505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17726044 + ... + 17841044.

It is an arithmetic number, because the mean of its divisors is an integer number (42823869750).

Almost surely, 2^{2045125343544} is an apocalyptic number.

2045125343544 is a gapful number since it is divisible by the number (24) 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 2045125343544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740727664000).

2045125343544 is an abundant number, since it is smaller than the sum of its proper divisors (3436329984456).

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

2045125343544 is a wasteful number, since it uses less digits than its factorization.

2045125343544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115749 (or 115745 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 2045125343544 in words is "two trillion, forty-five billion, one hundred twenty-five million, three hundred forty-three thousand, five hundred forty-four".