2145144045060 has 72 divisors (see below), whose sum is σ = 6564520511640. Its totient is φ = 566976119808.

The previous prime is 2145144045047. The next prime is 2145144045061. The reversal of 2145144045060 is 605404415412.

2145144045060 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 144 + 0 + 4 + 506 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 189078868224 + 1956065176836 = 434832^2 + 1398594^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2145144045061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52711815 + ... + 52752494.

It is an arithmetic number, because the mean of its divisors is an integer number (91173895995).

Almost surely, 2^{2145144045060} is an apocalyptic number.

2145144045060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145144045060 is an abundant number, since it is smaller than the sum of its proper divisors (4419376466580).

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

2145144045060 is a wasteful number, since it uses less digits than its factorization.

2145144045060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105464437 (or 105464432 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2145144045060 in words is "two trillion, one hundred forty-five billion, one hundred forty-four million, forty-five thousand, sixty".