2154668664512 has 168 divisors, whose sum is σ = 5359117293936. Its totient is φ = 851953600512.

The previous prime is 2154668664451. The next prime is 2154668664517.

2154668664512 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (2154668664517) 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 23 ways as a sum of consecutive naturals, for example, 84907058 + ... + 84932430.

It is an arithmetic number, because the mean of its divisors is an integer number (31899507702).

Almost surely, 2^{2154668664512} 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 2154668664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679558646968).

2154668664512 is an abundant number, since it is smaller than the sum of its proper divisors (3204448629424).

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

2154668664512 is a wasteful number, since it uses less digits than its factorization.

2154668664512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27495 (or 27478 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 56.

The spelling of 2154668664512 in words is "two trillion, one hundred fifty-four billion, six hundred sixty-eight million, six hundred sixty-four thousand, five hundred twelve".