45828998624250 has 288 divisors, whose sum is σ = 129385185641712. Its totient is φ = 11697963264000.

The previous prime is 45828998624153. The next prime is 45828998624333. The reversal of 45828998624250 is 5242689982854.

45828998624250 is a `hidden beast` number, since 4 + 5 + 8 + 289 + 98 + 6 + 2 + 4 + 250 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 5441689904049 + 40387308720201 = 2332743^2 + 6355101^2 .

It is a super-2 number, since 2×45828998624250² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 259041822 + ... + 259218678.

Almost surely, 2^{45828998624250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45828998624250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64692592820856).

45828998624250 is an abundant number, since it is smaller than the sum of its proper divisors (83556187017462).

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

45828998624250 is a wasteful number, since it uses less digits than its factorization.

45828998624250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177027 (or 176961 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 45828998624250 in words is "forty-five trillion, eight hundred twenty-eight billion, nine hundred ninety-eight million, six hundred twenty-four thousand, two hundred fifty".