45883855680 has 448 divisors, whose sum is σ = 164096029440. Its totient is φ = 10784342016.

The previous prime is 45883855657. The next prime is 45883855691. The reversal of 45883855680 is 8655838854.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 35105587 + ... + 35106893.

It is an arithmetic number, because the mean of its divisors is an integer number (366285780).

Almost surely, 2^45883855680 is an apocalyptic number.

45883855680 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 45883855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82048014720).

45883855680 is an abundant number, since it is smaller than the sum of its proper divisors (118212173760).

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

45883855680 is a wasteful number, since it uses less digits than its factorization.

45883855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 60.

The spelling of 45883855680 in words is "forty-five billion, eight hundred eighty-three million, eight hundred fifty-five thousand, six hundred eighty".