46033075821876 has 384 divisors, whose sum is σ = 132899789352960. Its totient is φ = 12303878146560.

The previous prime is 46033075821809. The next prime is 46033075821877. The reversal of 46033075821876 is 67812857033064.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46033075821877) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5219756995 + ... + 5219765813.

It is an arithmetic number, because the mean of its divisors is an integer number (346093201440).

Almost surely, 2^{46033075821876} is an apocalyptic number.

46033075821876 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 46033075821876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66449894676480).

46033075821876 is an abundant number, since it is smaller than the sum of its proper divisors (86866713531084).

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

46033075821876 is a wasteful number, since it uses less digits than its factorization.

46033075821876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9988 (or 9964 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 46033075821876 in words is "forty-six trillion, thirty-three billion, seventy-five million, eight hundred twenty-one thousand, eight hundred seventy-six".