46001134152 has 96 divisors (see below), whose sum is σ = 128109267000. Its totient is φ = 14901138432.

The previous prime is 46001134117. The next prime is 46001134163. The reversal of 46001134152 is 25143110064.

It is a happy number.

46001134152 is a `hidden beast` number, since 4 + 600 + 1 + 1 + 3 + 4 + 1 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45776314116 + 224820036 = 213954^2 + 14994^2 .

It is a super-2 number, since 2×46001134152² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2272974 + ... + 2293122.

Almost surely, 2^46001134152 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 46001134152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64054633500).

46001134152 is an abundant number, since it is smaller than the sum of its proper divisors (82108132848).

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

46001134152 is a wasteful number, since it uses less digits than its factorization.

46001134152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21055 (or 21048 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 46001134152 in words is "forty-six billion, one million, one hundred thirty-four thousand, one hundred fifty-two".