1484557560000 has 840 divisors, whose sum is σ = 5606549142480. Its totient is φ = 374879232000.

The previous prime is 1484557559921. The next prime is 1484557560001. The reversal of 1484557560000 is 657554841.

1484557560000 is a `hidden beast` number, since 1 + 4 + 84 + 5 + 5 + 7 + 560 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1484557560000² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1484557560001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 553318659 + ... + 553321341.

Almost surely, 2^{1484557560000} is an apocalyptic number.

1484557560000 is a gapful number since it is divisible by the number (10) 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 1484557560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803274571240).

1484557560000 is an abundant number, since it is smaller than the sum of its proper divisors (4121991582480).

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

1484557560000 is a wasteful number, since it uses less digits than its factorization.

1484557560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 1484557560000 in words is "one trillion, four hundred eighty-four billion, five hundred fifty-seven million, five hundred sixty thousand".