45591804329040 has 600 divisors, whose sum is σ = 167706678708360. Its totient is φ = 11465501902848.

The previous prime is 45591804329023. The next prime is 45591804329063. The reversal of 45591804329040 is 4092340819554.

It is a happy number.

45591804329040 is a `hidden beast` number, since 4 + 5 + 5 + 9 + 1 + 80 + 432 + 90 + 40 = 666.

45591804329040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18506274779664 + 27085529549376 = 4301892^2 + 5204376^2 .

It is a super-2 number, since 2×45591804329040² (a number of 28 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 347398474 + ... + 347529686.

Almost surely, 2^{45591804329040} is an apocalyptic number.

45591804329040 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 45591804329040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83853339354180).

45591804329040 is an abundant number, since it is smaller than the sum of its proper divisors (122114874379320).

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

45591804329040 is a wasteful number, since it uses less digits than its factorization.

45591804329040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131353 (or 131295 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 45591804329040 in words is "forty-five trillion, five hundred ninety-one billion, eight hundred four million, three hundred twenty-nine thousand, forty".