45942510528 has 280 divisors, whose sum is σ = 139949358912. Its totient is φ = 14895415296.

The previous prime is 45942510527. The next prime is 45942510533. The reversal of 45942510528 is 82501524954.

45942510528 is a `hidden beast` number, since 4 + 5 + 94 + 25 + 10 + 528 = 666.

It is a super-2 number, since 2×45942510528² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45942510527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47023576 + ... + 47024552.

Almost surely, 2^45942510528 is an apocalyptic number.

45942510528 is a gapful number since it is divisible by the number (48) 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 45942510528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69974679456).

45942510528 is an abundant number, since it is smaller than the sum of its proper divisors (94006848384).

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

45942510528 is a wasteful number, since it uses less digits than its factorization.

45942510528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 45942510528 in words is "forty-five billion, nine hundred forty-two million, five hundred ten thousand, five hundred twenty-eight".