83376349056 has 1152 divisors, whose sum is σ = 339925975200. Its totient is φ = 19926466560.

The previous prime is 83376349037. The next prime is 83376349073. The reversal of 83376349056 is 65094367338.

83376349056 is a `hidden beast` number, since 8 + 33 + 76 + 3 + 490 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×83376349056² (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 = 83376348993 and 83376349011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 266377956 + ... + 266378268.

Almost surely, 2^83376349056 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 83376349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169962987600).

83376349056 is an abundant number, since it is smaller than the sum of its proper divisors (256549626144).

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

83376349056 is a wasteful number, since it uses less digits than its factorization.

83376349056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 83376349056 in words is "eighty-three billion, three hundred seventy-six million, three hundred forty-nine thousand, fifty-six".