46417052928 has 576 divisors, whose sum is σ = 143165030400. Its totient is φ = 13284311040.

The previous prime is 46417052911. The next prime is 46417052947. The reversal of 46417052928 is 82925071464.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 587557593 + ... + 587557671.

It is an arithmetic number, because the mean of its divisors is an integer number (248550400).

Almost surely, 2^46417052928 is an apocalyptic number.

46417052928 is a gapful number since it is divisible by the number (48) 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 46417052928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71582515200).

46417052928 is an abundant number, since it is smaller than the sum of its proper divisors (96747977472).

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

46417052928 is a wasteful number, since it uses less digits than its factorization.

46417052928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 46417052928 in words is "forty-six billion, four hundred seventeen million, fifty-two thousand, nine hundred twenty-eight".