2138161698000 has 1200 divisors, whose sum is σ = 8219971888128. Its totient is φ = 535144320000.

The previous prime is 2138161697989. The next prime is 2138161698007. The reversal of 2138161698000 is 8961618312.

2138161698000 is a `hidden beast` number, since 21 + 3 + 8 + 1 + 616 + 9 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138161698007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6875117845 + ... + 6875118155.

Almost surely, 2^{2138161698000} is an apocalyptic number.

2138161698000 is a gapful number since it is divisible by the number (20) 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 2138161698000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109985944064).

2138161698000 is an abundant number, since it is smaller than the sum of its proper divisors (6081810190128).

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

2138161698000 is a wasteful number, since it uses less digits than its factorization.

2138161698000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 2138161698000 in words is "two trillion, one hundred thirty-eight billion, one hundred sixty-one million, six hundred ninety-eight thousand".