4264148952 has 288 divisors, whose sum is σ = 14022328320. Its totient is φ = 1165933440.

The previous prime is 4264148897. The next prime is 4264148989. The reversal of 4264148952 is 2598414624.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4264148898 and 4264148907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13889583 + ... + 13889889.

It is an arithmetic number, because the mean of its divisors is an integer number (48688640).

Almost surely, 2^4264148952 is an apocalyptic number.

4264148952 is a gapful number since it is divisible by the number (42) 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 4264148952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7011164160).

4264148952 is an abundant number, since it is smaller than the sum of its proper divisors (9758179368).

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

4264148952 is a wasteful number, since it uses less digits than its factorization.

4264148952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 477 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 4264148952 is about 65300.4513920080. The cubic root of 4264148952 is about 1621.6014433567.

The spelling of 4264148952 in words is "four billion, two hundred sixty-four million, one hundred forty-eight thousand, nine hundred fifty-two".