45561853028640 has 384 divisors, whose sum is σ = 163551400169472. Its totient is φ = 10576511447040.

The previous prime is 45561853028623. The next prime is 45561853028707. The reversal of 45561853028640 is 4682035816554.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7954287 + ... + 12425553.

It is an arithmetic number, because the mean of its divisors is an integer number (425915104608).

Almost surely, 2^{45561853028640} is an apocalyptic number.

45561853028640 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 45561853028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81775700084736).

45561853028640 is an abundant number, since it is smaller than the sum of its proper divisors (117989547140832).

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

45561853028640 is a wasteful number, since it uses less digits than its factorization.

45561853028640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471392 (or 4471384 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 57.

The spelling of 45561853028640 in words is "forty-five trillion, five hundred sixty-one billion, eight hundred fifty-three million, twenty-eight thousand, six hundred forty".