1898273168064 has 672 divisors, whose sum is σ = 7004305828800. Its totient is φ = 499694469120.

The previous prime is 1898273168059. The next prime is 1898273168081. The reversal of 1898273168064 is 4608613728981.

1898273168064 is a `hidden beast` number, since 189 + 8 + 2 + 7 + 316 + 80 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1898273167992 and 1898273168010.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 727585192 + ... + 727587800.

It is an arithmetic number, because the mean of its divisors is an integer number (10423074150).

Almost surely, 2^{1898273168064} is an apocalyptic number.

1898273168064 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 1898273168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502152914400).

1898273168064 is an abundant number, since it is smaller than the sum of its proper divisors (5106032660736).

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

1898273168064 is a wasteful number, since it uses less digits than its factorization.

1898273168064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 1898273168064 in words is "one trillion, eight hundred ninety-eight billion, two hundred seventy-three million, one hundred sixty-eight thousand, sixty-four".