45789683940 has 1440 divisors, whose sum is σ = 207119227392. Its totient is φ = 8211456000.

The previous prime is 45789683939. The next prime is 45789683941. The reversal of 45789683940 is 4938698754.

45789683940 is a `hidden beast` number, since 457 + 8 + 96 + 8 + 3 + 94 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45789683939) and next prime (45789683941).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (45789683941) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 303242865 + ... + 303243015.

Almost surely, 2^45789683940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45789683940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103559613696).

45789683940 is an abundant number, since it is smaller than the sum of its proper divisors (161329543452).

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

45789683940 is a wasteful number, since it uses less digits than its factorization.

45789683940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 45789683940 in words is "forty-five billion, seven hundred eighty-nine million, six hundred eighty-three thousand, nine hundred forty".