2138687463000 has 384 divisors, whose sum is σ = 7344035112960. Its totient is φ = 517793056000.

The previous prime is 2138687462987. The next prime is 2138687463023. The reversal of 2138687463000 is 3647868312.

It is a congruent number.

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, 313265587 + ... + 313272413.

It is an arithmetic number, because the mean of its divisors is an integer number (19125091440).

Almost surely, 2^{2138687463000} is an apocalyptic number.

2138687463000 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 2138687463000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672017556480).

2138687463000 is an abundant number, since it is smaller than the sum of its proper divisors (5205347649960).

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

2138687463000 is a wasteful number, since it uses less digits than its factorization.

2138687463000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7736 (or 7711 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 2138687463000 in words is "two trillion, one hundred thirty-eight billion, six hundred eighty-seven million, four hundred sixty-three thousand".