83555242848 has 576 divisors, whose sum is σ = 313128571392. Its totient is φ = 21285089280.

The previous prime is 83555242807. The next prime is 83555242853. The reversal of 83555242848 is 84824255538.

83555242848 is a `hidden beast` number, since 8 + 3 + 5 + 552 + 4 + 2 + 84 + 8 = 666.

It is a super-2 number, since 2×83555242848² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 83555242794 and 83555242803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31732540 + ... + 31735172.

It is an arithmetic number, because the mean of its divisors is an integer number (543625992).

Almost surely, 2^83555242848 is an apocalyptic number.

83555242848 is a gapful number since it is divisible by the number (88) 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 83555242848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156564285696).

83555242848 is an abundant number, since it is smaller than the sum of its proper divisors (229573328544).

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

83555242848 is a wasteful number, since it uses less digits than its factorization.

83555242848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2709 counting only the distinct ones).

The product of its digits is 12288000, while the sum is 54.

The spelling of 83555242848 in words is "eighty-three billion, five hundred fifty-five million, two hundred forty-two thousand, eight hundred forty-eight".