45482860800 has 1080 divisors, whose sum is σ = 192243461256. Its totient is φ = 10510663680.

The previous prime is 45482860777. The next prime is 45482860859. The reversal of 45482860800 is 806828454.

45482860800 is a `hidden beast` number, since 4 + 548 + 28 + 6 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10277093376 + 35205767424 = 101376^2 + 187632^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 114566202 + ... + 114566598.

Almost surely, 2^45482860800 is an apocalyptic number.

45482860800 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 45482860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96121730628).

45482860800 is an abundant number, since it is smaller than the sum of its proper divisors (146760600456).

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

45482860800 is a wasteful number, since it uses less digits than its factorization.

45482860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 45482860800 in words is "forty-five billion, four hundred eighty-two million, eight hundred sixty thousand, eight hundred".