46454530752 has 672 divisors, whose sum is σ = 171373190400. Its totient is φ = 12257796096.

The previous prime is 46454530673. The next prime is 46454530799. The reversal of 46454530752 is 25703545464.

46454530752 is a `hidden beast` number, since 4 + 6 + 4 + 545 + 30 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 46454530698 and 46454530707.

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 95 ways as a sum of consecutive naturals, for example, 84925743 + ... + 84926289.

Almost surely, 2^46454530752 is an apocalyptic number.

46454530752 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 46454530752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85686595200).

46454530752 is an abundant number, since it is smaller than the sum of its proper divisors (124918659648).

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

46454530752 is a wasteful number, since it uses less digits than its factorization.

46454530752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 46454530752 in words is "forty-six billion, four hundred fifty-four million, five hundred thirty thousand, seven hundred fifty-two".