45461681817552 has 1440 divisors, whose sum is σ = 178761107056896. Its totient is φ = 10597953945600.

The previous prime is 45461681817527. The next prime is 45461681817553. The reversal of 45461681817552 is 25571818616454.

45461681817552 is a `hidden beast` number, since 4 + 5 + 4 + 6 + 1 + 68 + 1 + 8 + 17 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 45461681817552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45461681817553) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5229684118 + ... + 5229692810.

Almost surely, 2^{45461681817552} is an apocalyptic number.

45461681817552 is a gapful number since it is divisible by the number (42) 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 45461681817552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89380553528448).

45461681817552 is an abundant number, since it is smaller than the sum of its proper divisors (133299425239344).

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

45461681817552 is a wasteful number, since it uses less digits than its factorization.

45461681817552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8889 (or 8873 counting only the distinct ones).

The product of its digits is 64512000, while the sum is 63.

The spelling of 45461681817552 in words is "forty-five trillion, four hundred sixty-one billion, six hundred eighty-one million, eight hundred seventeen thousand, five hundred fifty-two".