82463396017152 has 352 divisors, whose sum is σ = 235639935074304. Its totient is φ = 25572298752000.

The previous prime is 82463396017151. The next prime is 82463396017157. The reversal of 82463396017152 is 25171069336428.

82463396017152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×82463396017152² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82463396017092 and 82463396017101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82463396017151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10067557377 + ... + 10067565567.

It is a 1-persistent number, because it is pandigital, but 2⋅82463396017152 = 164926792034304 is not.

Almost surely, 2^{82463396017152} 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 82463396017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117819967537152).

82463396017152 is an abundant number, since it is smaller than the sum of its proper divisors (153176539057152).

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

82463396017152 is a wasteful number, since it uses less digits than its factorization.

82463396017152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12125 (or 12107 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 82463396017152 in words is "eighty-two trillion, four hundred sixty-three billion, three hundred ninety-six million, seventeen thousand, one hundred fifty-two".