83187137240064 has 1584 divisors, whose sum is σ = 303164774348800. Its totient is φ = 21759701483520.

The previous prime is 83187137240041. The next prime is 83187137240107. The reversal of 83187137240064 is 46004273178138.

83187137240064 is a `hidden beast` number, since 8 + 31 + 87 + 1 + 3 + 72 + 400 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21759646857 + ... + 21759650679.

Almost surely, 2^{83187137240064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83187137240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151582387174400).

83187137240064 is an abundant number, since it is smaller than the sum of its proper divisors (219977637108736).

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

83187137240064 is a wasteful number, since it uses less digits than its factorization.

83187137240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 83187137240064 in words is "eighty-three trillion, one hundred eighty-seven billion, one hundred thirty-seven million, two hundred forty thousand, sixty-four".