45229894608360 has 768 divisors, whose sum is σ = 173697302016000. Its totient is φ = 9316495964160.

The previous prime is 45229894608319. The next prime is 45229894608433. The reversal of 45229894608360 is 6380649892254.

45229894608360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 45229894608291 and 45229894608300.

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 191 ways as a sum of consecutive naturals, for example, 6464180382 + ... + 6464187378.

It is an arithmetic number, because the mean of its divisors is an integer number (226168362000).

Almost surely, 2^{45229894608360} is an apocalyptic number.

45229894608360 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 45229894608360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86848651008000).

45229894608360 is an abundant number, since it is smaller than the sum of its proper divisors (128467407407640).

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

45229894608360 is a wasteful number, since it uses less digits than its factorization.

45229894608360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7894 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 66.

The spelling of 45229894608360 in words is "forty-five trillion, two hundred twenty-nine billion, eight hundred ninety-four million, six hundred eight thousand, three hundred sixty".