45546066048 has 384 divisors, whose sum is σ = 144536970240. Its totient is φ = 12666931200.

The previous prime is 45546066023. The next prime is 45546066067. The reversal of 45546066048 is 84066064554.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 45546065988 and 45546066006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137601243 + ... + 137601573.

It is an arithmetic number, because the mean of its divisors is an integer number (376398360).

Almost surely, 2^45546066048 is an apocalyptic number.

45546066048 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 45546066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72268485120).

45546066048 is an abundant number, since it is smaller than the sum of its proper divisors (98990904192).

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

45546066048 is a wasteful number, since it uses less digits than its factorization.

45546066048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

It can be divided in two parts, 4554606 and 6048, that added together give a palindrome (4560654).

The spelling of 45546066048 in words is "forty-five billion, five hundred forty-six million, sixty-six thousand, forty-eight".