46453816068000 has 384 divisors, whose sum is σ = 166742568195840. Its totient is φ = 11212346880000.

The previous prime is 46453816067987. The next prime is 46453816068031. The reversal of 46453816068000 is 86061835464.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29459610 + ... + 30996390.

It is an arithmetic number, because the mean of its divisors is an integer number (434225438010).

Almost surely, 2^{46453816068000} is an apocalyptic number.

46453816068000 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 46453816068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83371284097920).

46453816068000 is an abundant number, since it is smaller than the sum of its proper divisors (120288752127840).

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

46453816068000 is a wasteful number, since it uses less digits than its factorization.

46453816068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537049 (or 1537031 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 46453816068000 in words is "forty-six trillion, four hundred fifty-three billion, eight hundred sixteen million, sixty-eight thousand".