4542721753248 has 1080 divisors, whose sum is σ = 16620112710432. Its totient is φ = 1191556541952.

The previous prime is 4542721753247. The next prime is 4542721753279. The reversal of 4542721753248 is 8423571272454.

4542721753248 is a `hidden beast` number, since 4 + 5 + 42 + 7 + 21 + 7 + 532 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4542721753194 and 4542721753203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4542721753247) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 35769462561 + ... + 35769462687.

Almost surely, 2^{4542721753248} is an apocalyptic number.

4542721753248 is a gapful number since it is divisible by the number (48) 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 4542721753248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8310056355216).

4542721753248 is an abundant number, since it is smaller than the sum of its proper divisors (12077390957184).

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

4542721753248 is a wasteful number, since it uses less digits than its factorization.

4542721753248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 201 counting only the distinct ones).

The product of its digits is 15052800, while the sum is 54.

The spelling of 4542721753248 in words is "four trillion, five hundred forty-two billion, seven hundred twenty-one million, seven hundred fifty-three thousand, two hundred forty-eight".