45441515441088 has 1008 divisors, whose sum is σ = 156124544808960. Its totient is φ = 12563542278144.

The previous prime is 45441515441083. The next prime is 45441515441093. The reversal of 45441515441088 is 88014451514454.

45441515441088 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 1 + 5 + 1 + 544 + 10 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (45441515441083) and next prime (45441515441093).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45441515441083) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31933601145 + ... + 31933602567.

It is an arithmetic number, because the mean of its divisors is an integer number (154885461120).

Almost surely, 2^{45441515441088} is an apocalyptic number.

45441515441088 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 45441515441088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78062272404480).

45441515441088 is an abundant number, since it is smaller than the sum of its proper divisors (110683029367872).

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

45441515441088 is a wasteful number, since it uses less digits than its factorization.

45441515441088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 8192000, while the sum is 54.

The spelling of 45441515441088 in words is "forty-five trillion, four hundred forty-one billion, five hundred fifteen million, four hundred forty-one thousand, eighty-eight".