4152123864 has 96 divisors (see below), whose sum is σ = 12868146720. Its totient is φ = 1184813568.

The previous prime is 4152123851. The next prime is 4152123881. The reversal of 4152123864 is 4683212514.

It is a happy number.

4152123864 is a `hidden beast` number, since 41 + 521 + 2 + 38 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427122 + ... + 436734.

It is an arithmetic number, because the mean of its divisors is an integer number (134043195).

Almost surely, 2^4152123864 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 4152123864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434073360).

4152123864 is an abundant number, since it is smaller than the sum of its proper divisors (8716022856).

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

4152123864 is a wasteful number, since it uses less digits than its factorization.

4152123864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10489 (or 10482 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4152123864 is about 64436.9759066951. The cubic root of 4152123864 is about 1607.2746691568.

The spelling of 4152123864 in words is "four billion, one hundred fifty-two million, one hundred twenty-three thousand, eight hundred sixty-four".