83701389081744 has 320 divisors, whose sum is σ = 282191851898880. Its totient is φ = 23252258649600.

The previous prime is 83701389081733. The next prime is 83701389081787. The reversal of 83701389081744 is 44718098310738.

83701389081744 is a `hidden beast` number, since 8 + 370 + 1 + 3 + 8 + 90 + 8 + 174 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162091707 + ... + 162607269.

It is an arithmetic number, because the mean of its divisors is an integer number (881849537184).

Almost surely, 2^{83701389081744} is an apocalyptic number.

83701389081744 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 83701389081744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141095925949440).

83701389081744 is an abundant number, since it is smaller than the sum of its proper divisors (198490462817136).

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

83701389081744 is a wasteful number, since it uses less digits than its factorization.

83701389081744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517075 (or 517063 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 83701389081744 in words is "eighty-three trillion, seven hundred one billion, three hundred eighty-nine million, eighty-one thousand, seven hundred forty-four".