1046000342016 has 352 divisors, whose sum is σ = 3549006720000. Its totient is φ = 298120863744.

The previous prime is 1046000341999. The next prime is 1046000342021. The reversal of 1046000342016 is 6102430006401.

1046000342016 is a `hidden beast` number, since 1 + 0 + 4 + 600 + 0 + 3 + 42 + 0 + 16 = 666.

It is a super-3 number, since 3×1046000342016³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81085135 + ... + 81098033.

Almost surely, 2^{1046000342016} is an apocalyptic number.

1046000342016 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 1046000342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774503360000).

1046000342016 is an abundant number, since it is smaller than the sum of its proper divisors (2503006377984).

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

1046000342016 is a wasteful number, since it uses less digits than its factorization.

1046000342016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13354 (or 13330 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1046000342016 its reverse (6102430006401), we get a palindrome (7148430348417).

The spelling of 1046000342016 in words is "one trillion, forty-six billion, three hundred forty-two thousand, sixteen".