4753419116544 has 560 divisors, whose sum is σ = 16263839756736. Its totient is φ = 1355238604800.

The previous prime is 4753419116503. The next prime is 4753419116581. The reversal of 4753419116544 is 4456119143574.

4753419116544 is a `hidden beast` number, since 4 + 7 + 5 + 3 + 4 + 1 + 91 + 1 + 6 + 544 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3209600284 + ... + 3209601764.

Almost surely, 2^{4753419116544} 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 4753419116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131919878368).

4753419116544 is an abundant number, since it is smaller than the sum of its proper divisors (11510420640192).

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

4753419116544 is an equidigital number, since it uses as much as digits as its factorization.

4753419116544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2184 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 4753419116544 in words is "four trillion, seven hundred fifty-three billion, four hundred nineteen million, one hundred sixteen thousand, five hundred forty-four".