4753147279104 has 648 divisors, whose sum is σ = 16655506463232. Its totient is φ = 1298320773120.

The previous prime is 4753147279093. The next prime is 4753147279117. The reversal of 4753147279104 is 4019727413574.

4753147279104 is a `hidden beast` number, since 4 + 75 + 31 + 472 + 79 + 1 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 290473227 + ... + 290489589.

Almost surely, 2^{4753147279104} 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 4753147279104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8327753231616).

4753147279104 is an abundant number, since it is smaller than the sum of its proper divisors (11902359184128).

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

4753147279104 is a wasteful number, since it uses less digits than its factorization.

4753147279104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16513 (or 16489 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 4753147279104 in words is "four trillion, seven hundred fifty-three billion, one hundred forty-seven million, two hundred seventy-nine thousand, one hundred four".