46832812416 has 512 divisors, whose sum is σ = 158816448000. Its totient is φ = 13466787840.

The previous prime is 46832812409. The next prime is 46832812441. The reversal of 46832812416 is 61421823864.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70851126 + ... + 70851786.

It is an arithmetic number, because the mean of its divisors is an integer number (310188375).

Almost surely, 2^46832812416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46832812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79408224000).

46832812416 is an abundant number, since it is smaller than the sum of its proper divisors (111983635584).

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

46832812416 is a wasteful number, since it uses less digits than its factorization.

46832812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 781 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 46832812416 in words is "forty-six billion, eight hundred thirty-two million, eight hundred twelve thousand, four hundred sixteen".