1046632034016 has 144 divisors (see below), whose sum is σ = 3088581560064. Its totient is φ = 348652854144.

The previous prime is 1046632034011. The next prime is 1046632034033. The reversal of 1046632034016 is 6104302366401.

1046632034016 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 632 + 0 + 3 + 4 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×1046632034016⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1046632034011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12266895 + ... + 12351921.

It is an arithmetic number, because the mean of its divisors is an integer number (21448483056).

Almost surely, 2^{1046632034016} is an apocalyptic number.

1046632034016 is a gapful number since it is divisible by the number (16) 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 1046632034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544290780032).

1046632034016 is an abundant number, since it is smaller than the sum of its proper divisors (2041949526048).

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

1046632034016 is an equidigital number, since it uses as much as digits as its factorization.

1046632034016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86635 (or 86615 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1046632034016 in words is "one trillion, forty-six billion, six hundred thirty-two million, thirty-four thousand, sixteen".