190785101000004 has 189 divisors, whose sum is σ = 582325488318861. Its totient is φ = 54508537107360.

The previous prime is 190785100999937. The next prime is 190785101000009. The reversal of 190785101000004 is 400000101587091.

The square root of 190785101000004 is 13812498.

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., 181686190726404 + 9098910273600 = 13479102^2 + 3016440^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (190785101000009) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5221105974 + ... + 5221142514.

Almost surely, 2^{190785101000004} is an apocalyptic number.

190785101000004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

190785101000004 is the 13812498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190785101000004

190785101000004 is an abundant number, since it is smaller than the sum of its proper divisors (391540387318857).

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

190785101000004 is an frugal number, since it uses more digits than its factorization.

190785101000004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73118 (or 36553 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

190785101000004 divided by its sum of digits (36) gives a square (5299586138889 = 2302083²).

Adding to 190785101000004 its reverse (400000101587091), we get a palindrome (590785202587095).

The spelling of 190785101000004 in words is "one hundred ninety trillion, seven hundred eighty-five billion, one hundred one million, four", and thus it is an aban number.