45566801280 has 1152 divisors, whose sum is σ = 215227303200. Its totient is φ = 8732344320.

The previous prime is 45566801239. The next prime is 45566801303. The reversal of 45566801280 is 8210866554.

45566801280 is a `hidden beast` number, since 4 + 5 + 566 + 8 + 0 + 1 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 40359756 + ... + 40360884.

Almost surely, 2^45566801280 is an apocalyptic number.

45566801280 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 45566801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107613651600).

45566801280 is an abundant number, since it is smaller than the sum of its proper divisors (169660501920).

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

45566801280 is a wasteful number, since it uses less digits than its factorization.

45566801280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 45566801280 in words is "forty-five billion, five hundred sixty-six million, eight hundred one thousand, two hundred eighty".