1978272242208 has 144 divisors (see below), whose sum is σ = 6129336195360. Its totient is φ = 620634350592.

The previous prime is 1978272242171. The next prime is 1978272242257. The reversal of 1978272242208 is 8022422728791.

1978272242208 is a `hidden beast` number, since 197 + 8 + 2 + 7 + 2 + 242 + 208 = 666.

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

It is a super-2 number, since 2×1978272242208² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 3711666 + ... + 4211057.

It is an arithmetic number, because the mean of its divisors is an integer number (42564834690).

Almost surely, 2^{1978272242208} is an apocalyptic number.

1978272242208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1978272242208 is an abundant number, since it is smaller than the sum of its proper divisors (4151063953152).

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

1978272242208 is a wasteful number, since it uses less digits than its factorization.

1978272242208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922776 (or 7922745 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 1978272242208 in words is "one trillion, nine hundred seventy-eight billion, two hundred seventy-two million, two hundred forty-two thousand, two hundred eight".