2045147332608 has 480 divisors, whose sum is σ = 6220801843200. Its totient is φ = 663806803968.

The previous prime is 2045147332583. The next prime is 2045147332637. The reversal of 2045147332608 is 8062337415402.

2045147332608 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 1 + 4 + 7 + 3 + 32 + 608 = 666.

It is a super-2 number, since 2×2045147332608² (a number of 25 digits) contains 22 as substring.

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, 3314663116 + ... + 3314663732.

It is an arithmetic number, because the mean of its divisors is an integer number (12960003840).

Almost surely, 2^{2045147332608} 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 2045147332608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400921600).

2045147332608 is an abundant number, since it is smaller than the sum of its proper divisors (4175654510592).

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

2045147332608 is an equidigital number, since it uses as much as digits as its factorization.

2045147332608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2045147332608 in words is "two trillion, forty-five billion, one hundred forty-seven million, three hundred thirty-two thousand, six hundred eight".