2045816027136 has 384 divisors, whose sum is σ = 7290489024000. Its totient is φ = 553752723456.

The previous prime is 2045816027113. The next prime is 2045816027159. The reversal of 2045816027136 is 6317206185402.

2045816027136 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 8 + 1 + 602 + 7 + 1 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (2045816027113) and next prime (2045816027159).

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

It is a junction number, because it is equal to n+sod(n) for n = 2045816027091 and 2045816027100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7215280 + ... + 7493456.

It is an arithmetic number, because the mean of its divisors is an integer number (18985648500).

Almost surely, 2^{2045816027136} 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 2045816027136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645244512000).

2045816027136 is an abundant number, since it is smaller than the sum of its proper divisors (5244672996864).

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

2045816027136 is a wasteful number, since it uses less digits than its factorization.

2045816027136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278234 (or 278208 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2045816027136 in words is "two trillion, forty-five billion, eight hundred sixteen million, twenty-seven thousand, one hundred thirty-six".