4758484452300 has 288 divisors, whose sum is σ = 15722179827200. Its totient is φ = 1233762865920.

The previous prime is 4758484452283. The next prime is 4758484452307. The reversal of 4758484452300 is 32544848574.

4758484452300 is a `hidden beast` number, since 4 + 7 + 5 + 84 + 84 + 452 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4758484452307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148135641 + ... + 148167759.

Almost surely, 2^{4758484452300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4758484452300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861089913600).

4758484452300 is an abundant number, since it is smaller than the sum of its proper divisors (10963695374900).

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

4758484452300 is a wasteful number, since it uses less digits than its factorization.

4758484452300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33662 (or 33649 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 54.

The spelling of 4758484452300 in words is "four trillion, seven hundred fifty-eight billion, four hundred eighty-four million, four hundred fifty-two thousand, three hundred".