45683401680 has 640 divisors, whose sum is σ = 185023872000. Its totient is φ = 10355724288.

The previous prime is 45683401633. The next prime is 45683401681. The reversal of 45683401680 is 8610438654.

45683401680 is a `hidden beast` number, since 4 + 568 + 3 + 4 + 0 + 1 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45683401681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145953204 + ... + 145953516.

It is an arithmetic number, because the mean of its divisors is an integer number (289099800).

Almost surely, 2^45683401680 is an apocalyptic number.

45683401680 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 45683401680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92511936000).

45683401680 is an abundant number, since it is smaller than the sum of its proper divisors (139340470320).

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

45683401680 is a wasteful number, since it uses less digits than its factorization.

45683401680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

It can be divided in two parts, 45683401 and 680, that added together give a square (45684081 = 6759²).

The spelling of 45683401680 in words is "forty-five billion, six hundred eighty-three million, four hundred one thousand, six hundred eighty".