46829352960 has 960 divisors, whose sum is σ = 186797651040. Its totient is φ = 11147673600.

The previous prime is 46829352949. The next prime is 46829352961. The reversal of 46829352960 is 6925392864.

It is a happy number.

46829352960 is a `hidden beast` number, since 4 + 68 + 293 + 5 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 46829352897 and 46829352906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46829352961) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 463656910 + ... + 463657010.

Almost surely, 2^46829352960 is an apocalyptic number.

46829352960 is a gapful number since it is divisible by the number (40) 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 46829352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93398825520).

46829352960 is an abundant number, since it is smaller than the sum of its proper divisors (139968298080).

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

46829352960 is a wasteful number, since it uses less digits than its factorization.

46829352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 46829352960 in words is "forty-six billion, eight hundred twenty-nine million, three hundred fifty-two thousand, nine hundred sixty".