45862748051960 has 256 divisors, whose sum is σ = 127835452800000. Its totient is φ = 14760095519232.

The previous prime is 45862748051959. The next prime is 45862748051971. The reversal of 45862748051960 is 6915084726854.

45862748051960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27607079 + ... + 29221161.

It is an arithmetic number, because the mean of its divisors is an integer number (499357237500).

Almost surely, 2^{45862748051960} is an apocalyptic number.

45862748051960 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 45862748051960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63917726400000).

45862748051960 is an abundant number, since it is smaller than the sum of its proper divisors (81972704748040).

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

45862748051960 is a wasteful number, since it uses less digits than its factorization.

45862748051960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614243 (or 1614225 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 65.

The spelling of 45862748051960 in words is "forty-five trillion, eight hundred sixty-two billion, seven hundred forty-eight million, fifty-one thousand, nine hundred sixty".