2811618000672 has 48 divisors (see below), whose sum is σ = 7948227813120. Its totient is φ = 865113230592.

The previous prime is 2811618000671. The next prime is 2811618000689. The reversal of 2811618000672 is 2760008161182.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2811618000671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1126448272 + ... + 1126450767.

It is an arithmetic number, because the mean of its divisors is an integer number (165588079440).

Almost surely, 2^{2811618000672} is an apocalyptic number.

It is an amenable number.

2811618000672 is an abundant number, since it is smaller than the sum of its proper divisors (5136609812448).

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

2811618000672 is a wasteful number, since it uses less digits than its factorization.

2811618000672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252899065 (or 2252899057 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 2811618000672 in words is "two trillion, eight hundred eleven billion, six hundred eighteen million, six hundred seventy-two", and thus it is an aban number.