46121432616 has 256 divisors, whose sum is σ = 156779712000. Its totient is φ = 12262440960.

The previous prime is 46121432537. The next prime is 46121432657. The reversal of 46121432616 is 61623412164.

46121432616 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 1 + 4 + 32 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2277576 + ... + 2297736.

It is an arithmetic number, because the mean of its divisors is an integer number (612420750).

Almost surely, 2^46121432616 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 46121432616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78389856000).

46121432616 is an abundant number, since it is smaller than the sum of its proper divisors (110658279384).

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

46121432616 is a wasteful number, since it uses less digits than its factorization.

46121432616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20289 (or 20279 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 46121432616 in words is "forty-six billion, one hundred twenty-one million, four hundred thirty-two thousand, six hundred sixteen".