45131232706560 has 3840 divisors, whose sum is σ = 221056387200000. Its totient is φ = 8656540139520.

The previous prime is 45131232706541. The next prime is 45131232706583. The reversal of 45131232706560 is 6560723213154.

45131232706560 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 12 + 3 + 2 + 70 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×45131232706560² (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3471633285114 + ... + 3471633285126.

It is an arithmetic number, because the mean of its divisors is an integer number (57566767500).

Almost surely, 2^{45131232706560} is an apocalyptic number.

45131232706560 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 45131232706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110528193600000).

45131232706560 is an abundant number, since it is smaller than the sum of its proper divisors (175925154493440).

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

45131232706560 is an frugal number, since it uses more digits than its factorization.

45131232706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 45131232706560 in words is "forty-five trillion, one hundred thirty-one billion, two hundred thirty-two million, seven hundred six thousand, five hundred sixty".