45683875356840 has 192 divisors, whose sum is σ = 169685486530560. Its totient is φ = 10441873520640.

The previous prime is 45683875356809. The next prime is 45683875356863. The reversal of 45683875356840 is 4865357838654.

45683875356840 is a `hidden beast` number, since 4 + 5 + 6 + 8 + 3 + 8 + 7 + 53 + 568 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333178777 + ... + 333315863.

It is an arithmetic number, because the mean of its divisors is an integer number (883778575680).

Almost surely, 2^{45683875356840} is an apocalyptic number.

45683875356840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45683875356840 is an abundant number, since it is smaller than the sum of its proper divisors (124001611173720).

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

45683875356840 is a wasteful number, since it uses less digits than its factorization.

45683875356840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269352 (or 269345 counting only the distinct ones).

The product of its (nonzero) digits is 2322432000, while the sum is 72.

The spelling of 45683875356840 in words is "forty-five trillion, six hundred eighty-three billion, eight hundred seventy-five million, three hundred fifty-six thousand, eight hundred forty".