46001577883728 has 80 divisors (see below), whose sum is σ = 119394789897152. Its totient is φ = 15262093440000.

The previous prime is 46001577883687. The next prime is 46001577883763. The reversal of 46001577883728 is 82738877510064.

46001577883728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×46001577883728³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7139898 + ... + 11957478.

Almost surely, 2^{46001577883728} is an apocalyptic number.

46001577883728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46001577883728 is an abundant number, since it is smaller than the sum of its proper divisors (73393212013424).

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

46001577883728 is a wasteful number, since it uses less digits than its factorization.

46001577883728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818524 (or 4818518 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 66.

The spelling of 46001577883728 in words is "forty-six trillion, one billion, five hundred seventy-seven million, eight hundred eighty-three thousand, seven hundred twenty-eight".