45338026752 has 288 divisors, whose sum is σ = 138999848960. Its totient is φ = 14561648640.

The previous prime is 45338026739. The next prime is 45338026753. The reversal of 45338026752 is 25762083354.

45338026752 is a `hidden beast` number, since 4 + 5 + 3 + 380 + 267 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 45338026698 and 45338026707.

It is not an unprimeable number, because it can be changed into a prime (45338026753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97922073 + ... + 97922535.

Almost surely, 2^45338026752 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 45338026752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69499924480).

45338026752 is an abundant number, since it is smaller than the sum of its proper divisors (93661822208).

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

45338026752 is a wasteful number, since it uses less digits than its factorization.

45338026752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 45338026752 in words is "forty-five billion, three hundred thirty-eight million, twenty-six thousand, seven hundred fifty-two".