83153317143468 has 192 divisors, whose sum is σ = 240058351411200. Its totient is φ = 22024776925440.

The previous prime is 83153317143461. The next prime is 83153317143469. The reversal of 83153317143468 is 86434171335138.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (83153317143461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66643923 + ... + 67880181.

It is an arithmetic number, because the mean of its divisors is an integer number (1250303913600).

Almost surely, 2^{83153317143468} 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 83153317143468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120029175705600).

83153317143468 is an abundant number, since it is smaller than the sum of its proper divisors (156905034267732).

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

83153317143468 is a wasteful number, since it uses less digits than its factorization.

83153317143468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238372 (or 1238370 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The spelling of 83153317143468 in words is "eighty-three trillion, one hundred fifty-three billion, three hundred seventeen million, one hundred forty-three thousand, four hundred sixty-eight".