83241795739648 has 1792 divisors, whose sum is σ = 234631821312000. Its totient is φ = 29215822970880.

The previous prime is 83241795739607. The next prime is 83241795739651. The reversal of 83241795739648 is 84693759714238.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×83241795739648² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1140298571740 + ... + 1140298571812.

It is an arithmetic number, because the mean of its divisors is an integer number (130932936000).

Almost surely, 2^{83241795739648} 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 83241795739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117315910656000).

83241795739648 is an abundant number, since it is smaller than the sum of its proper divisors (151390025572352).

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

83241795739648 is a wasteful number, since it uses less digits than its factorization.

83241795739648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 198 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 76.

The spelling of 83241795739648 in words is "eighty-three trillion, two hundred forty-one billion, seven hundred ninety-five million, seven hundred thirty-nine thousand, six hundred forty-eight".