8187142656000 has 3744 divisors, whose sum is σ = 37197970467840. Its totient is φ = 1589575680000.

The previous prime is 8187142655987. The next prime is 8187142656023. The reversal of 8187142656000 is 6562417818.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 264101375985 + ... + 264101376015.

It is an arithmetic number, because the mean of its divisors is an integer number (9935355360).

Almost surely, 2^{8187142656000} is an apocalyptic number.

8187142656000 is a gapful number since it is divisible by the number (80) 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 8187142656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18598985233920).

8187142656000 is an abundant number, since it is smaller than the sum of its proper divisors (29010827811840).

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

8187142656000 is a wasteful number, since it uses less digits than its factorization.

8187142656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 8187142656000 in words is "eight trillion, one hundred eighty-seven billion, one hundred forty-two million, six hundred fifty-six thousand".