4152534363648 has 1280 divisors, whose sum is σ = 14798138572800. Its totient is φ = 1135669248000.

The previous prime is 4152534363647. The next prime is 4152534363763. The reversal of 4152534363648 is 8463634352514.

4152534363648 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 534 + 3 + 63 + 6 + 48 = 666.

4152534363648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4152534363594 and 4152534363603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4152534363647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6359164090 + ... + 6359164742.

It is an arithmetic number, because the mean of its divisors is an integer number (11561045760).

Almost surely, 2^{4152534363648} is an apocalyptic number.

4152534363648 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 4152534363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399069286400).

4152534363648 is an abundant number, since it is smaller than the sum of its proper divisors (10645604209152).

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

4152534363648 is a wasteful number, since it uses less digits than its factorization.

4152534363648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 790 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 4152534363648 in words is "four trillion, one hundred fifty-two billion, five hundred thirty-four million, three hundred sixty-three thousand, six hundred forty-eight".