1900817616768 has 256 divisors, whose sum is σ = 5889788121600. Its totient is φ = 531962855424.

The previous prime is 1900817616743. The next prime is 1900817616781. The reversal of 1900817616768 is 8676167180091.

It is a super-2 number, since 2×1900817616768² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25560696 + ... + 25634952.

It is an arithmetic number, because the mean of its divisors is an integer number (23006984850).

Almost surely, 2^{1900817616768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900817616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944894060800).

1900817616768 is an abundant number, since it is smaller than the sum of its proper divisors (3988970504832).

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

1900817616768 is a wasteful number, since it uses less digits than its factorization.

1900817616768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74477 (or 74465 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 60.

The spelling of 1900817616768 in words is "one trillion, nine hundred billion, eight hundred seventeen million, six hundred sixteen thousand, seven hundred sixty-eight".