46080359424 has 264 divisors, whose sum is σ = 151470663552. Its totient is φ = 13355950080.

The previous prime is 46080359357. The next prime is 46080359471. The reversal of 46080359424 is 42495308064.

46080359424 is a `hidden beast` number, since 4 + 608 + 0 + 35 + 9 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×46080359424² (a number of 22 digits) contains 22 as substring.

46080359424 is a modest number, since divided by 359424 gives 46080 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 46080359424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2321767 + ... + 2341529.

Almost surely, 2^46080359424 is an apocalyptic number.

46080359424 is a gapful number since it is divisible by the number (44) 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 46080359424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75735331776).

46080359424 is an abundant number, since it is smaller than the sum of its proper divisors (105390304128).

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

46080359424 is a wasteful number, since it uses less digits than its factorization.

46080359424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19823 (or 19802 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

It can be divided in two parts, 46080 and 359424, that added together give a palindrome (405504).

The spelling of 46080359424 in words is "forty-six billion, eighty million, three hundred fifty-nine thousand, four hundred twenty-four".