4545982879200 has 3456 divisors, whose sum is σ = 21497374080000. Its totient is φ = 897387724800.

The previous prime is 4545982879199. The next prime is 4545982879211. The reversal of 4545982879200 is 29782895454.

4545982879200 is a `hidden beast` number, since 4 + 5 + 459 + 82 + 87 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 575 ways as a sum of consecutive naturals, for example, 32704912731 + ... + 32704912869.

It is an arithmetic number, because the mean of its divisors is an integer number (6220305000).

Almost surely, 2^{4545982879200} is an apocalyptic number.

4545982879200 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 4545982879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10748687040000).

4545982879200 is an abundant number, since it is smaller than the sum of its proper divisors (16951391200800).

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

4545982879200 is a wasteful number, since it uses less digits than its factorization.

4545982879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 4545982879200 in words is "four trillion, five hundred forty-five billion, nine hundred eighty-two million, eight hundred seventy-nine thousand, two hundred".