1934006269104 has 360 divisors, whose sum is σ = 6794843852160. Its totient is φ = 508991164416.

The previous prime is 1934006269049. The next prime is 1934006269157. The reversal of 1934006269104 is 4019626004391.

1934006269104 is a `hidden beast` number, since 1 + 9 + 3 + 4 + 0 + 0 + 626 + 9 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1934006269104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43915704 + ... + 43959720.

It is an arithmetic number, because the mean of its divisors is an integer number (18874566256).

Almost surely, 2^{1934006269104} is an apocalyptic number.

1934006269104 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 1934006269104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397421926080).

1934006269104 is an abundant number, since it is smaller than the sum of its proper divisors (4860837583056).

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

1934006269104 is a wasteful number, since it uses less digits than its factorization.

1934006269104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44537 (or 44521 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1934006269104 in words is "one trillion, nine hundred thirty-four billion, six million, two hundred sixty-nine thousand, one hundred four".