4745115648 has 768 divisors, whose sum is σ = 18492364800. Its totient is φ = 1167851520.

The previous prime is 4745115647. The next prime is 4745115659. The reversal of 4745115648 is 8465115474.

4745115648 is a `hidden beast` number, since 4 + 7 + 451 + 156 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×4745115648³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4745115647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115734508 + ... + 115734548.

It is an arithmetic number, because the mean of its divisors is an integer number (24078600).

Almost surely, 2^4745115648 is an apocalyptic number.

4745115648 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 4745115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9246182400).

4745115648 is an abundant number, since it is smaller than the sum of its proper divisors (13747249152).

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

4745115648 is a wasteful number, since it uses less digits than its factorization.

4745115648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 4745115648 is about 68884.7998327643. The cubic root of 4745115648 is about 1680.4113278545.

The spelling of 4745115648 in words is "four billion, seven hundred forty-five million, one hundred fifteen thousand, six hundred forty-eight".