45855530164224 has 336 divisors, whose sum is σ = 144606184654464. Its totient is φ = 13885941350400.

The previous prime is 45855530164211. The next prime is 45855530164369. The reversal of 45855530164224 is 42246103555854.

45855530164224 is a `hidden beast` number, since 4 + 5 + 8 + 5 + 55 + 301 + 64 + 224 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1210816009 + ... + 1210853879.

Almost surely, 2^{45855530164224} is an apocalyptic number.

45855530164224 is a gapful number since it is divisible by the number (44) 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 45855530164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72303092327232).

45855530164224 is an abundant number, since it is smaller than the sum of its proper divisors (98750654490240).

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

45855530164224 is a wasteful number, since it uses less digits than its factorization.

45855530164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39407 (or 39380 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 54.

The spelling of 45855530164224 in words is "forty-five trillion, eight hundred fifty-five billion, five hundred thirty million, one hundred sixty-four thousand, two hundred twenty-four".