1890416000736 has 144 divisors (see below), whose sum is σ = 5610572866080. Its totient is φ = 602637235200.

The previous prime is 1890416000719. The next prime is 1890416000747. The reversal of 1890416000736 is 6370006140981.

It is a happy number.

1890416000736 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 4 + 1 + 600 + 0 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1890416000691 and 1890416000700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44366130 + ... + 44408718.

It is an arithmetic number, because the mean of its divisors is an integer number (38962311570).

Almost surely, 2^{1890416000736} is an apocalyptic number.

1890416000736 is a gapful number since it is divisible by the number (16) 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 1890416000736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805286433040).

1890416000736 is an abundant number, since it is smaller than the sum of its proper divisors (3720156865344).

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

1890416000736 is a wasteful number, since it uses less digits than its factorization.

1890416000736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49329 (or 49318 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1890416000736 in words is "one trillion, eight hundred ninety billion, four hundred sixteen million, seven hundred thirty-six", and thus it is an aban number.