2046115438668 has 360 divisors, whose sum is σ = 6429372364800. Its totient is φ = 565182152640.

The previous prime is 2046115438663. The next prime is 2046115438673. The reversal of 2046115438668 is 8668345116402.

2046115438668 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 11 + 543 + 86 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2046115438663) and next prime (2046115438673).

It is a super-2 number, since 2×2046115438668² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2046115438663) 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 119 ways as a sum of consecutive naturals, for example, 836171821 + ... + 836174267.

It is an arithmetic number, because the mean of its divisors is an integer number (17859367680).

Almost surely, 2^{2046115438668} is an apocalyptic number.

2046115438668 is a gapful number since it is divisible by the number (28) 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 2046115438668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214686182400).

2046115438668 is an abundant number, since it is smaller than the sum of its proper divisors (4383256926132).

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

2046115438668 is a wasteful number, since it uses less digits than its factorization.

2046115438668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2046115438668 in words is "two trillion, forty-six billion, one hundred fifteen million, four hundred thirty-eight thousand, six hundred sixty-eight".