46057929456 has 960 divisors, whose sum is σ = 173676026880. Its totient is φ = 10332241920.

The previous prime is 46057929397. The next prime is 46057929481. The reversal of 46057929456 is 65492975064.

It is a junction number, because it is equal to n+sod(n) for n = 46057929396 and 46057929405.

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 191 ways as a sum of consecutive naturals, for example, 293362530 + ... + 293362686.

It is an arithmetic number, because the mean of its divisors is an integer number (180912528).

Almost surely, 2^46057929456 is an apocalyptic number.

46057929456 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 46057929456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86838013440).

46057929456 is an abundant number, since it is smaller than the sum of its proper divisors (127618097424).

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

46057929456 is a wasteful number, since it uses less digits than its factorization.

46057929456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 46057929456 in words is "forty-six billion, fifty-seven million, nine hundred twenty-nine thousand, four hundred fifty-six".