2116256338128 has 320 divisors, whose sum is σ = 5958018662400. Its totient is φ = 645344409600.

The previous prime is 2116256338121. The next prime is 2116256338199. The reversal of 2116256338128 is 8218336526112.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116256338121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1137159918 + ... + 1137161778.

It is an arithmetic number, because the mean of its divisors is an integer number (18618808320).

Almost surely, 2^{2116256338128} 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 2116256338128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979009331200).

2116256338128 is an abundant number, since it is smaller than the sum of its proper divisors (3841762324272).

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

2116256338128 is a wasteful number, since it uses less digits than its factorization.

2116256338128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2292 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The spelling of 2116256338128 in words is "two trillion, one hundred sixteen billion, two hundred fifty-six million, three hundred thirty-eight thousand, one hundred twenty-eight".