46084733760 has 224 divisors, whose sum is σ = 158155062912. Its totient is φ = 11302133760.

The previous prime is 46084733759. The next prime is 46084733789. The reversal of 46084733760 is 6733748064.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3450295 + ... + 3463625.

It is an arithmetic number, because the mean of its divisors is an integer number (706049388).

Almost surely, 2^46084733760 is an apocalyptic number.

46084733760 is a gapful number since it is divisible by the number (40) 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 46084733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79077531456).

46084733760 is an abundant number, since it is smaller than the sum of its proper divisors (112070329152).

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

46084733760 is a wasteful number, since it uses less digits than its factorization.

46084733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13641 (or 13631 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 46084733760 in words is "forty-six billion, eighty-four million, seven hundred thirty-three thousand, seven hundred sixty".