1934188344001 has 9 divisors (see below), whose sum is σ = 1937865508131. Its totient is φ = 1930518152112.

The previous prime is 1934188343977. The next prime is 1934188344029. The reversal of 1934188344001 is 1004438814391.

The square root of 1934188344001 is 1390751.

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., 1684012313025 + 250176030976 = 1297695^2 + 500176^2 .

It is not a de Polignac number, because 1934188344001 - 2³¹ = 1932040860353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1934188344401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1011075021 + ... + 1011076933.

Almost surely, 2^{1934188344001} is an apocalyptic number.

1934188344001 is the 1390751-st square number.

1934188344001 is the 695376-th centered octagonal number.

It is an amenable number.

1934188344001 is a deficient number, since it is larger than the sum of its proper divisors (3677164130).

1934188344001 is an frugal number, since it uses more digits than its factorization.

1934188344001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 1934188344001 in words is "one trillion, nine hundred thirty-four billion, one hundred eighty-eight million, three hundred forty-four thousand, one".