1986514948992 has 768 divisors, whose sum is σ = 6723402624000. Its totient is φ = 516276633600.

The previous prime is 1986514948991. The next prime is 1986514949039. The reversal of 1986514948992 is 2998494156891.

Its product of digits (403107840) is a multiple of the sum of its prime divisors (2048).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1986514948991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1044983242 + ... + 1044985142.

It is an arithmetic number, because the mean of its divisors is an integer number (8754430500).

Almost surely, 2^{1986514948992} is an apocalyptic number.

1986514948992 is a gapful number since it is divisible by the number (12) 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 1986514948992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361701312000).

1986514948992 is an abundant number, since it is smaller than the sum of its proper divisors (4736887675008).

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

1986514948992 is a wasteful number, since it uses less digits than its factorization.

1986514948992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2048 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 75.

The spelling of 1986514948992 in words is "one trillion, nine hundred eighty-six billion, five hundred fourteen million, nine hundred forty-eight thousand, nine hundred ninety-two".