46329034752 has 1344 divisors, whose sum is σ = 192496711680. Its totient is φ = 10749542400.

The previous prime is 46329034751. The next prime is 46329034781. The reversal of 46329034752 is 25743092364.

46329034752 is a `hidden beast` number, since 4 + 632 + 9 + 0 + 3 + 4 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×46329034752² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46329034698 and 46329034707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46329034751) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1494484977 + ... + 1494485007.

It is an arithmetic number, because the mean of its divisors is an integer number (143226720).

Almost surely, 2^46329034752 is an apocalyptic number.

46329034752 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 46329034752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96248355840).

46329034752 is an abundant number, since it is smaller than the sum of its proper divisors (146167676928).

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

46329034752 is a wasteful number, since it uses less digits than its factorization.

46329034752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 46329034752 in words is "forty-six billion, three hundred twenty-nine million, thirty-four thousand, seven hundred fifty-two".