1936416968704 has 117 divisors (see below), whose sum is σ = 4116765040077. Its totient is φ = 910542569472.

The previous prime is 1936416968611. The next prime is 1936416968729. The reversal of 1936416968704 is 4078696146391.

The square root of 1936416968704 is 1391552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1507591065600 + 428825903104 = 1227840^2 + 654848^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1514007937 + ... + 1514009215.

Almost surely, 2^{1936416968704} is an apocalyptic number.

1936416968704 is the 1391552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1936416968704

1936416968704 is an abundant number, since it is smaller than the sum of its proper divisors (2180348071373).

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

1936416968704 is an frugal number, since it uses more digits than its factorization.

1936416968704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 64.

Multiplying 1936416968704 by its sum of digits (64), we get a square (123930685997056 = 11132416²).

1936416968704 divided by its sum of digits (64) gives a square (30256515136 = 173944²).

The spelling of 1936416968704 in words is "one trillion, nine hundred thirty-six billion, four hundred sixteen million, nine hundred sixty-eight thousand, seven hundred four".