83871182690064 has 1280 divisors, whose sum is σ = 306340324392960. Its totient is φ = 21341245685760.

The previous prime is 83871182690023. The next prime is 83871182690069. The reversal of 83871182690064 is 46009628117838.

It is a super-2 number, since 2×83871182690064² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 83871182689983 and 83871182690010.

It is not an unprimeable number, because it can be changed into a prime (83871182690069) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 211262424714 + ... + 211262425110.

It is an arithmetic number, because the mean of its divisors is an integer number (239328378432).

Almost surely, 2^{83871182690064} is an apocalyptic number.

83871182690064 is a gapful number since it is divisible by the number (84) 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 83871182690064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153170162196480).

83871182690064 is an abundant number, since it is smaller than the sum of its proper divisors (222469141702896).

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

83871182690064 is a wasteful number, since it uses less digits than its factorization.

83871182690064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 83871182690064 in words is "eighty-three trillion, eight hundred seventy-one billion, one hundred eighty-two million, six hundred ninety thousand, sixty-four".