45805277700000 has 3456 divisors, whose sum is σ = 214526595419136. Its totient is φ = 8995553280000.

The previous prime is 45805277699977. The next prime is 45805277700011. The reversal of 45805277700000 is 777250854.

45805277700000 is a `hidden beast` number, since 4 + 58 + 0 + 527 + 7 + 70 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 232514099902 + ... + 232514100098.

It is an arithmetic number, because the mean of its divisors is an integer number (62073667656).

Almost surely, 2^{45805277700000} is an apocalyptic number.

45805277700000 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 45805277700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107263297709568).

45805277700000 is an abundant number, since it is smaller than the sum of its proper divisors (168721317719136).

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

45805277700000 is a wasteful number, since it uses less digits than its factorization.

45805277700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 45805277700000 in words is "forty-five trillion, eight hundred five billion, two hundred seventy-seven million, seven hundred thousand".