46529420256 has 288 divisors, whose sum is σ = 151656261120. Its totient is φ = 13394304000.

The previous prime is 46529420239. The next prime is 46529420293. The reversal of 46529420256 is 65202492564.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11000350 + ... + 11004578.

It is an arithmetic number, because the mean of its divisors is an integer number (526584240).

Almost surely, 2^46529420256 is an apocalyptic number.

46529420256 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 46529420256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75828130560).

46529420256 is an abundant number, since it is smaller than the sum of its proper divisors (105126840864).

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

46529420256 is a wasteful number, since it uses less digits than its factorization.

46529420256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 46529420256 in words is "forty-six billion, five hundred twenty-nine million, four hundred twenty thousand, two hundred fifty-six".