4554355584000 has 352 divisors, whose sum is σ = 15158347716096. Its totient is φ = 1213785292800.

The previous prime is 4554355583927. The next prime is 4554355584047. The reversal of 4554355584000 is 4855534554.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183870077 + ... + 1183873923.

Almost surely, 2^{4554355584000} is an apocalyptic number.

4554355584000 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 4554355584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579173858048).

4554355584000 is an abundant number, since it is smaller than the sum of its proper divisors (10603992132096).

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

4554355584000 is a wasteful number, since it uses less digits than its factorization.

4554355584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6968 (or 6940 counting only the distinct ones).

The product of its (nonzero) digits is 4800000, while the sum is 48.

The spelling of 4554355584000 in words is "four trillion, five hundred fifty-four billion, three hundred fifty-five million, five hundred eighty-four thousand".