46016439552000 has 864 divisors, whose sum is σ = 172241023532760. Its totient is φ = 12270602649600.

The previous prime is 46016439551981. The next prime is 46016439552043. The reversal of 46016439552000 is 25593461064.

46016439552000 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 6 + 439 + 5 + 5 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18357591499776 + 27658848052224 = 4284576^2 + 5259168^2 .

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1679602302 + ... + 1679629698.

Almost surely, 2^{46016439552000} is an apocalyptic number.

46016439552000 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 46016439552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86120511766380).

46016439552000 is an abundant number, since it is smaller than the sum of its proper divisors (126224583980760).

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

46016439552000 is an frugal number, since it uses more digits than its factorization.

46016439552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27458 (or 27407 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 46016439552000 in words is "forty-six trillion, sixteen billion, four hundred thirty-nine million, five hundred fifty-two thousand".