45609720981120 has 192 divisors, whose sum is σ = 157553042250240. Its totient is φ = 12158192424960.

The previous prime is 45609720981113. The next prime is 45609720981127. The reversal of 45609720981120 is 2118902790654.

It is a happy number.

45609720981120 is a `hidden beast` number, since 4 + 5 + 609 + 7 + 2 + 0 + 9 + 8 + 1 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (45609720981113) and next prime (45609720981127).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (45609720981127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14507065 + ... + 17368775.

It is an arithmetic number, because the mean of its divisors is an integer number (820588761720).

Almost surely, 2^{45609720981120} is an apocalyptic number.

45609720981120 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 45609720981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78776521125120).

45609720981120 is an abundant number, since it is smaller than the sum of its proper divisors (111943321269120).

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

45609720981120 is a wasteful number, since it uses less digits than its factorization.

45609720981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864503 (or 2864488 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 45609720981120 in words is "forty-five trillion, six hundred nine billion, seven hundred twenty million, nine hundred eighty-one thousand, one hundred twenty".