45634027520 has 120 divisors (see below), whose sum is σ = 115964116884. Its totient is φ = 17179869184.

The previous prime is 45634027459. The next prime is 45634027559. The reversal of 45634027520 is 2572043654.

It can be written as a sum of positive squares in 2 ways, for example, as 45365592064 + 268435456 = 212992^2 + 16384^2 .

It is a super-2 number, since 2×45634027520² (a number of 22 digits) contains 22 as substring.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4 and base 16.

It is an unprimeable number.

In principle, a polygon with 45634027520 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2684354552 + ... + 2684354568.

Almost surely, 2^45634027520 is an apocalyptic number.

45634027520 is a gapful number since it is divisible by the number (40) 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 45634027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57982058442).

45634027520 is an abundant number, since it is smaller than the sum of its proper divisors (70330089364).

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

45634027520 is an frugal number, since it uses more digits than its factorization.

45634027520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 38.

The spelling of 45634027520 in words is "forty-five billion, six hundred thirty-four million, twenty-seven thousand, five hundred twenty".