2012545644144 has 320 divisors, whose sum is σ = 6240216029184. Its totient is φ = 546470166528.

The previous prime is 2012545644143. The next prime is 2012545644211. The reversal of 2012545644144 is 4414465452102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2012545644096 and 2012545644105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012545644143) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 853857814 + ... + 853860170.

Almost surely, 2^{2012545644144} is an apocalyptic number.

2012545644144 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 2012545644144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120108014592).

2012545644144 is an abundant number, since it is smaller than the sum of its proper divisors (4227670385040).

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

2012545644144 is a wasteful number, since it uses less digits than its factorization.

2012545644144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 2012545644144 in words is "two trillion, twelve billion, five hundred forty-five million, six hundred forty-four thousand, one hundred forty-four".