83668633548 has 192 divisors, whose sum is σ = 217088793600. Its totient is φ = 25032167424.

The previous prime is 83668633537. The next prime is 83668633597. The reversal of 83668633548 is 84533686638.

It is a happy number.

It is a super-2 number, since 2×83668633548² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83668633491 and 83668633500.

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, 365365098 + ... + 365365326.

It is an arithmetic number, because the mean of its divisors is an integer number (1130670800).

Almost surely, 2^83668633548 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 83668633548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108544396800).

83668633548 is an abundant number, since it is smaller than the sum of its proper divisors (133420160052).

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

83668633548 is a wasteful number, since it uses less digits than its factorization.

83668633548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 469 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 60.

The spelling of 83668633548 in words is "eighty-three billion, six hundred sixty-eight million, six hundred thirty-three thousand, five hundred forty-eight".