2116994128704 has 1680 divisors, whose sum is σ = 8435447387136. Its totient is φ = 510603264000.

The previous prime is 2116994128679. The next prime is 2116994128709. The reversal of 2116994128704 is 4078214996112.

2116994128704 is a `hidden beast` number, since 211 + 6 + 9 + 9 + 412 + 8 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116994128709) 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 239 ways as a sum of consecutive naturals, for example, 5279286904 + ... + 5279287304.

Almost surely, 2^{2116994128704} is an apocalyptic number.

2116994128704 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 2116994128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217723693568).

2116994128704 is an abundant number, since it is smaller than the sum of its proper divisors (6318453258432).

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

2116994128704 is a wasteful number, since it uses less digits than its factorization.

2116994128704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 2116994128704 in words is "two trillion, one hundred sixteen billion, nine hundred ninety-four million, one hundred twenty-eight thousand, seven hundred four".