1936697444352 has 960 divisors, whose sum is σ = 6511803217920. Its totient is φ = 568531353600.

The previous prime is 1936697444299. The next prime is 1936697444359. The reversal of 1936697444352 is 2534447966391.

It is a happy number.

1936697444352 is a `hidden beast` number, since 19 + 3 + 6 + 69 + 74 + 443 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1936697444352.

It is not an unprimeable number, because it can be changed into a prime (1936697444359) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14136477628 + ... + 14136477764.

It is an arithmetic number, because the mean of its divisors is an integer number (6783128352).

Almost surely, 2^{1936697444352} is an apocalyptic number.

1936697444352 is a gapful number since it is divisible by the number (12) 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 1936697444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255901608960).

1936697444352 is an abundant number, since it is smaller than the sum of its proper divisors (4575105773568).

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

1936697444352 is a wasteful number, since it uses less digits than its factorization.

1936697444352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 341 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 1936697444352 in words is "one trillion, nine hundred thirty-six billion, six hundred ninety-seven million, four hundred forty-four thousand, three hundred fifty-two".