45995771600 has 30 divisors (see below), whose sum is σ = 110504842230. Its totient is φ = 18398308480.

The previous prime is 45995771593. The next prime is 45995771617. The reversal of 45995771600 is 617759954.

It can be written as a sum of positive squares in 3 ways, for example, as 689797696 + 45305973904 = 26264^2 + 212852^2 .

It is a super-2 number, since 2×45995771600² (a number of 22 digits) contains 22 as substring.

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 57494315 + ... + 57495114.

It is an arithmetic number, because the mean of its divisors is an integer number (3683494741).

Almost surely, 2^45995771600 is an apocalyptic number.

45995771600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45995771600 is an abundant number, since it is smaller than the sum of its proper divisors (64509070630).

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

45995771600 is a wasteful number, since it uses less digits than its factorization.

45995771600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114989447 (or 114989436 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 53.

The spelling of 45995771600 in words is "forty-five billion, nine hundred ninety-five million, seven hundred seventy-one thousand, six hundred".