45936633600 has 1296 divisors, whose sum is σ = 200572405600. Its totient is φ = 10279526400.

The previous prime is 45936633571. The next prime is 45936633619. The reversal of 45936633600 is 633663954.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45936633600 is a `hidden beast` number, since 4 + 5 + 9 + 3 + 6 + 6 + 33 + 600 = 666.

It is a super-2 number, since 2×45936633600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3533587194 + ... + 3533587206.

Almost surely, 2^45936633600 is an apocalyptic number.

45936633600 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 45936633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100286202800).

45936633600 is an abundant number, since it is smaller than the sum of its proper divisors (154635772000).

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

45936633600 is a wasteful number, since it uses less digits than its factorization.

45936633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 45936633600 in words is "forty-five billion, nine hundred thirty-six million, six hundred thirty-three thousand, six hundred".