4735206510048 has 432 divisors, whose sum is σ = 15881556600000. Its totient is φ = 1334187638784.

The previous prime is 4735206509989. The next prime is 4735206510049. The reversal of 4735206510048 is 8400156025374.

4735206510048 is a `hidden beast` number, since 4 + 73 + 5 + 20 + 6 + 510 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4735206509985 and 4735206510012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4735206510049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1169473528 + ... + 1169477576.

It is an arithmetic number, because the mean of its divisors is an integer number (36762862500).

Almost surely, 2^{4735206510048} is an apocalyptic number.

4735206510048 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 4735206510048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7940778300000).

4735206510048 is an abundant number, since it is smaller than the sum of its proper divisors (11146350089952).

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

4735206510048 is a wasteful number, since it uses less digits than its factorization.

4735206510048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 4735206510048 in words is "four trillion, seven hundred thirty-five billion, two hundred six million, five hundred ten thousand, forty-eight".