2123504966016 has 384 divisors, whose sum is σ = 7404065760000. Its totient is φ = 570642444288.

The previous prime is 2123504965963. The next prime is 2123504966039. The reversal of 2123504966016 is 6106694053212.

2123504966016 is a `hidden beast` number, since 2 + 1 + 2 + 35 + 0 + 4 + 9 + 6 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2123504966016² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21247170 + ... + 21346878.

It is an arithmetic number, because the mean of its divisors is an integer number (19281421250).

Almost surely, 2^{2123504966016} 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 2123504966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702032880000).

2123504966016 is an abundant number, since it is smaller than the sum of its proper divisors (5280560793984).

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

2123504966016 is a wasteful number, since it uses less digits than its factorization.

2123504966016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99894 (or 99879 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2123504966016 in words is "two trillion, one hundred twenty-three billion, five hundred four million, nine hundred sixty-six thousand, sixteen".