1142650607616 has 576 divisors, whose sum is σ = 3983783731200. Its totient is φ = 308227866624.

The previous prime is 1142650607543. The next prime is 1142650607687. The reversal of 1142650607616 is 6167060562411.

1142650607616 is a `hidden beast` number, since 1 + 1 + 4 + 26 + 5 + 0 + 6 + 0 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1142650607616² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 938907040 + ... + 938908256.

It is an arithmetic number, because the mean of its divisors is an integer number (6916291200).

Almost surely, 2^{1142650607616} is an apocalyptic number.

1142650607616 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 1142650607616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991891865600).

1142650607616 is an abundant number, since it is smaller than the sum of its proper divisors (2841133123584).

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

1142650607616 is a wasteful number, since it uses less digits than its factorization.

1142650607616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1142650607616 in words is "one trillion, one hundred forty-two billion, six hundred fifty million, six hundred seven thousand, six hundred sixteen".