46285349806080 has 3136 divisors, whose sum is σ = 213132888009216. Its totient is φ = 9364045824000.

The previous prime is 46285349806043. The next prime is 46285349806141. The reversal of 46285349806080 is 8060894358264.

46285349806080 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 5 + 3 + 498 + 0 + 60 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 46285349805999 and 46285349806017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 94267514635 + ... + 94267515125.

Almost surely, 2^{46285349806080} is an apocalyptic number.

46285349806080 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 46285349806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106566444004608).

46285349806080 is an abundant number, since it is smaller than the sum of its proper divisors (166847538203136).

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

46285349806080 is an equidigital number, since it uses as much as digits as its factorization.

46285349806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 46285349806080 in words is "forty-six trillion, two hundred eighty-five billion, three hundred forty-nine million, eight hundred six thousand, eighty".