1964196247104 has 2016 divisors, whose sum is σ = 7888545624960. Its totient is φ = 478569627648.

The previous prime is 1964196247073. The next prime is 1964196247151. The reversal of 1964196247104 is 4017426914691.

It is a happy number.

1964196247104 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 1 + 9 + 624 + 7 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18020149002 + ... + 18020149110.

It is an arithmetic number, because the mean of its divisors is an integer number (3912969060).

Almost surely, 2^{1964196247104} is an apocalyptic number.

1964196247104 is a gapful number since it is divisible by the number (14) 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 1964196247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944272812480).

1964196247104 is an abundant number, since it is smaller than the sum of its proper divisors (5924349377856).

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

1964196247104 is a wasteful number, since it uses less digits than its factorization.

1964196247104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1964196247104 in words is "one trillion, nine hundred sixty-four billion, one hundred ninety-six million, two hundred forty-seven thousand, one hundred four".