45552181248000 has 2448 divisors, whose sum is σ = 198542416572864. Its totient is φ = 10389631795200.

The previous prime is 45552181247983. The next prime is 45552181248029. The reversal of 45552181248000 is 84218125554.

45552181248000 is a `hidden beast` number, since 4 + 5 + 5 + 521 + 81 + 2 + 48 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97542143767 + ... + 97542144233.

Almost surely, 2^{45552181248000} is an apocalyptic number.

45552181248000 is a gapful number since it is divisible by the number (40) 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 45552181248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99271208286432).

45552181248000 is an abundant number, since it is smaller than the sum of its proper divisors (152990235324864).

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

45552181248000 is an frugal number, since it uses more digits than its factorization.

45552181248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

It can be divided in two parts, 455521 and 81248000, that added together give a square (81703521 = 9039²).

The spelling of 45552181248000 in words is "forty-five trillion, five hundred fifty-two billion, one hundred eighty-one million, two hundred forty-eight thousand".