2045677113600 has 432 divisors, whose sum is σ = 7085674737792. Its totient is φ = 518760366080.

The previous prime is 2045677113593. The next prime is 2045677113629. The reversal of 2045677113600 is 63117765402.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76383412 + ... + 76410188.

It is an arithmetic number, because the mean of its divisors is an integer number (16402024856).

Almost surely, 2^{2045677113600} is an apocalyptic number.

2045677113600 is a gapful number since it is divisible by the number (20) 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 2045677113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542837368896).

2045677113600 is an abundant number, since it is smaller than the sum of its proper divisors (5039997624192).

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

2045677113600 is a wasteful number, since it uses less digits than its factorization.

2045677113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27002 (or 26983 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 2045677113600 in words is "two trillion, forty-five billion, six hundred seventy-seven million, one hundred thirteen thousand, six hundred".