45735960960 has 256 divisors, whose sum is σ = 170508096000. Its totient is φ = 11554265088.

The previous prime is 45735960937. The next prime is 45735960971. The reversal of 45735960960 is 6906953754.

45735960960 is a `hidden beast` number, since 4 + 573 + 5 + 9 + 6 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45735960897 and 45735960906.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 258669 + ... + 397971.

It is an arithmetic number, because the mean of its divisors is an integer number (666047250).

Almost surely, 2^45735960960 is an apocalyptic number.

45735960960 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 45735960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85254048000).

45735960960 is an abundant number, since it is smaller than the sum of its proper divisors (124772135040).

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

45735960960 is a wasteful number, since it uses less digits than its factorization.

45735960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139350 (or 139332 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 45735960960 in words is "forty-five billion, seven hundred thirty-five million, nine hundred sixty thousand, nine hundred sixty".