45506432337408 has 640 divisors, whose sum is σ = 163829564236800. Its totient is φ = 12174820245504.

The previous prime is 45506432337389. The next prime is 45506432337433. The reversal of 45506432337408 is 80473323460554.

45506432337408 is a `hidden beast` number, since 4 + 5 + 506 + 4 + 32 + 33 + 74 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324005823 + ... + 324146241.

It is an arithmetic number, because the mean of its divisors is an integer number (255983694120).

Almost surely, 2^{45506432337408} is an apocalyptic number.

45506432337408 is a gapful number since it is divisible by the number (48) 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 45506432337408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81914782118400).

45506432337408 is an abundant number, since it is smaller than the sum of its proper divisors (118323131899392).

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

45506432337408 is a wasteful number, since it uses less digits than its factorization.

45506432337408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140667 (or 140645 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 45506432337408 in words is "forty-five trillion, five hundred six billion, four hundred thirty-two million, three hundred thirty-seven thousand, four hundred eight".