83870164537344 has 3328 divisors, whose sum is σ = 309803802624000. Its totient is φ = 22198521692160.

The previous prime is 83870164537301. The next prime is 83870164537469. The reversal of 83870164537344 is 44373546107838.

83870164537344 is a `hidden beast` number, since 8 + 3 + 8 + 7 + 0 + 1 + 64 + 537 + 34 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 942361399252 + ... + 942361399340.

Almost surely, 2^{83870164537344} 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 83870164537344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154901901312000).

83870164537344 is an abundant number, since it is smaller than the sum of its proper divisors (225933638086656).

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

83870164537344 is a wasteful number, since it uses less digits than its factorization.

83870164537344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 83870164537344 in words is "eighty-three trillion, eight hundred seventy billion, one hundred sixty-four million, five hundred thirty-seven thousand, three hundred forty-four".