2106346578336 has 1728 divisors, whose sum is σ = 8472422230272. Its totient is φ = 487710720000.

The previous prime is 2106346578319. The next prime is 2106346578353. The reversal of 2106346578336 is 6338756436012.

2106346578336 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 34 + 6 + 578 + 3 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (2106346578319) and next prime (2106346578353).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8740027176 + ... + 8740027416.

It is an arithmetic number, because the mean of its divisors is an integer number (4903022124).

Almost surely, 2^{2106346578336} is an apocalyptic number.

2106346578336 is a gapful number since it is divisible by the number (26) 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 2106346578336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236211115136).

2106346578336 is an abundant number, since it is smaller than the sum of its proper divisors (6366075651936).

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

2106346578336 is a wasteful number, since it uses less digits than its factorization.

2106346578336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 2106346578336 in words is "two trillion, one hundred six billion, three hundred forty-six million, five hundred seventy-eight thousand, three hundred thirty-six".