45624433506 has 32 divisors (see below), whose sum is σ = 100227594240. Its totient is φ = 13781292624.

The previous prime is 45624433493. The next prime is 45624433507. The reversal of 45624433506 is 60533442654.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45624433507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8697690 + ... + 8702933.

It is an arithmetic number, because the mean of its divisors is an integer number (3132112320).

Almost surely, 2^45624433506 is an apocalyptic number.

45624433506 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

45624433506 is an abundant number, since it is smaller than the sum of its proper divisors (54603160734).

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

45624433506 is a wasteful number, since it uses less digits than its factorization.

45624433506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17400670.

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 45624433506 in words is "forty-five billion, six hundred twenty-four million, four hundred thirty-three thousand, five hundred six".