4693334749488 has 640 divisors, whose sum is σ = 17003665981440. Its totient is φ = 1204029204480.

The previous prime is 4693334749463. The next prime is 4693334749511. The reversal of 4693334749488 is 8849474333964.

4693334749488 is a `hidden beast` number, since 4 + 6 + 93 + 3 + 3 + 47 + 494 + 8 + 8 = 666.

It is a super-3 number, since 3×4693334749488³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1306242220 + ... + 1306245812.

It is an arithmetic number, because the mean of its divisors is an integer number (26568228096).

Almost surely, 2^{4693334749488} is an apocalyptic number.

4693334749488 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 4693334749488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8501832990720).

4693334749488 is an abundant number, since it is smaller than the sum of its proper divisors (12310331231952).

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

4693334749488 is a wasteful number, since it uses less digits than its factorization.

4693334749488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4090 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 72.

The spelling of 4693334749488 in words is "four trillion, six hundred ninety-three billion, three hundred thirty-four million, seven hundred forty-nine thousand, four hundred eighty-eight".