86629345152 has 128 divisors (see below), whose sum is σ = 263079705600. Its totient is φ = 24742041600.

The previous prime is 86629345147. The next prime is 86629345157. The reversal of 86629345152 is 25154392668.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86629345147) and next prime (86629345157).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 86629345095 and 86629345104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86629345157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10960402 + ... + 10968302.

It is an arithmetic number, because the mean of its divisors is an integer number (2055310200).

Almost surely, 2^86629345152 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 86629345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131539852800).

86629345152 is an abundant number, since it is smaller than the sum of its proper divisors (176450360448).

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

86629345152 is a wasteful number, since it uses less digits than its factorization.

86629345152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12004 (or 11992 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The spelling of 86629345152 in words is "eighty-six billion, six hundred twenty-nine million, three hundred forty-five thousand, one hundred fifty-two".