2045996947008 has 560 divisors, whose sum is σ = 7149405039744. Its totient is φ = 566321725440.

The previous prime is 2045996947003. The next prime is 2045996947021. The reversal of 2045996947008 is 8007496995402.

2045996947008 is a `hidden beast` number, since 2 + 0 + 459 + 96 + 94 + 7 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×2045996947008² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2045996947003) 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 79 ways as a sum of consecutive naturals, for example, 323576935 + ... + 323583257.

Almost surely, 2^{2045996947008} is an apocalyptic number.

2045996947008 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 2045996947008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574702519872).

2045996947008 is an abundant number, since it is smaller than the sum of its proper divisors (5103408092736).

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

2045996947008 is a wasteful number, since it uses less digits than its factorization.

2045996947008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 6613 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 2045996947008 in words is "two trillion, forty-five billion, nine hundred ninety-six million, nine hundred forty-seven thousand, eight".