46134696096 has 288 divisors, whose sum is σ = 142543739520. Its totient is φ = 14489266176.

The previous prime is 46134696079. The next prime is 46134696121. The reversal of 46134696096 is 69069643164.

46134696096 is a `hidden beast` number, since 461 + 3 + 4 + 6 + 96 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 136898040 + ... + 136898376.

It is an arithmetic number, because the mean of its divisors is an integer number (494943540).

Almost surely, 2^46134696096 is an apocalyptic number.

46134696096 is a gapful number since it is divisible by the number (46) 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 46134696096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71271869760).

46134696096 is an abundant number, since it is smaller than the sum of its proper divisors (96409043424).

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

46134696096 is a wasteful number, since it uses less digits than its factorization.

46134696096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 46134696096 in words is "forty-six billion, one hundred thirty-four million, six hundred ninety-six thousand, ninety-six".