10046134080 has 224 divisors, whose sum is σ = 35870083200. Its totient is φ = 2646503424.

The previous prime is 10046134057. The next prime is 10046134117. The reversal of 10046134080 is 8043164001.

10046134080 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 613 + 40 + 8 + 0 = 666.

10046134080 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 (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 710116 + ... + 724124.

It is an arithmetic number, because the mean of its divisors is an integer number (160134300).

Almost surely, 2^10046134080 is an apocalyptic number.

10046134080 is a gapful number since it is divisible by the number (10) 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 10046134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17935041600).

10046134080 is an abundant number, since it is smaller than the sum of its proper divisors (25823949120).

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

10046134080 is a wasteful number, since it uses less digits than its factorization.

10046134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14118 (or 14102 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10046134080 its reverse (8043164001), we get a palindrome (18089298081).

The spelling of 10046134080 in words is "ten billion, forty-six million, one hundred thirty-four thousand, eighty".