46617016320 has 1440 divisors, whose sum is σ = 206062496640. Its totient is φ = 10032906240.

The previous prime is 46617016253. The next prime is 46617016333. The reversal of 46617016320 is 2361071664.

It is a happy number.

46617016320 is a `hidden beast` number, since 4 + 6 + 6 + 17 + 0 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1259919342 + ... + 1259919378.

It is an arithmetic number, because the mean of its divisors is an integer number (143098956).

Almost surely, 2^46617016320 is an apocalyptic number.

46617016320 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 46617016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103031248320).

46617016320 is an abundant number, since it is smaller than the sum of its proper divisors (159445480320).

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

46617016320 is a wasteful number, since it uses less digits than its factorization.

46617016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 46617016320 its reverse (2361071664), we get a palindrome (48978087984).

The spelling of 46617016320 in words is "forty-six billion, six hundred seventeen million, sixteen thousand, three hundred twenty".