1970285841216 has 1008 divisors, whose sum is σ = 7460622274560. Its totient is φ = 482860984320.

The previous prime is 1970285841179. The next prime is 1970285841241. The reversal of 1970285841216 is 6121485820791.

1970285841216 is a `hidden beast` number, since 1 + 9 + 70 + 285 + 84 + 1 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 1853513901 + ... + 1853514963.

Almost surely, 2^{1970285841216} is an apocalyptic number.

1970285841216 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 1970285841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730311137280).

1970285841216 is an abundant number, since it is smaller than the sum of its proper divisors (5490336433344).

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

1970285841216 is a wasteful number, since it uses less digits than its factorization.

1970285841216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1970285841216 in words is "one trillion, nine hundred seventy billion, two hundred eighty-five million, eight hundred forty-one thousand, two hundred sixteen".