83067345075456 has 1152 divisors, whose sum is σ = 288828384768000. Its totient is φ = 23062498246656.

The previous prime is 83067345075409. The next prime is 83067345075457. The reversal of 83067345075456 is 65457054376038.

83067345075456 is a `hidden beast` number, since 8 + 3 + 0 + 6 + 7 + 34 + 50 + 7 + 545 + 6 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 83067345075393 and 83067345075402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83067345075457) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64045755000 + ... + 64045756296.

It is an arithmetic number, because the mean of its divisors is an integer number (250719084000).

Almost surely, 2^{83067345075456} 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 83067345075456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144414192384000).

83067345075456 is an abundant number, since it is smaller than the sum of its proper divisors (205761039692544).

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

83067345075456 is a wasteful number, since it uses less digits than its factorization.

83067345075456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 63.

The spelling of 83067345075456 in words is "eighty-three trillion, sixty-seven billion, three hundred forty-five million, seventy-five thousand, four hundred fifty-six".