45778098023424 has 528 divisors, whose sum is σ = 147600231979200. Its totient is φ = 13568428081152.

The previous prime is 45778098023387. The next prime is 45778098023429. The reversal of 45778098023424 is 42432089087754.

It is a happy number.

45778098023424 is a `hidden beast` number, since 4 + 57 + 7 + 80 + 9 + 80 + 2 + 3 + 424 = 666.

It is not an unprimeable number, because it can be changed into a prime (45778098023429) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1525260642 + ... + 1525290654.

It is an arithmetic number, because the mean of its divisors is an integer number (279545893900).

Almost surely, 2^{45778098023424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45778098023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73800115989600).

45778098023424 is an abundant number, since it is smaller than the sum of its proper divisors (101822133955776).

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

45778098023424 is a wasteful number, since it uses less digits than its factorization.

45778098023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30520 (or 30499 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 45778098023424 in words is "forty-five trillion, seven hundred seventy-eight billion, ninety-eight million, twenty-three thousand, four hundred twenty-four".