1981080201216 has 192 divisors, whose sum is σ = 5514297384960. Its totient is φ = 631296737280.

The previous prime is 1981080201173. The next prime is 1981080201253. The reversal of 1981080201216 is 6121020801891.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394399281 + ... + 394404303.

It is an arithmetic number, because the mean of its divisors is an integer number (28720298880).

Almost surely, 2^{1981080201216} is an apocalyptic number.

1981080201216 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 1981080201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757148692480).

1981080201216 is an abundant number, since it is smaller than the sum of its proper divisors (3533217183744).

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

1981080201216 is a wasteful number, since it uses less digits than its factorization.

1981080201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7862 (or 7842 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 39.

The spelling of 1981080201216 in words is "one trillion, nine hundred eighty-one billion, eighty million, two hundred one thousand, two hundred sixteen".