81629668134 has 64 divisors (see below), whose sum is σ = 207393177600. Its totient is φ = 23313792384.

The previous prime is 81629668117. The next prime is 81629668151. The reversal of 81629668134 is 43186692618.

81629668134 is a `hidden beast` number, since 8 + 1 + 629 + 6 + 6 + 8 + 1 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (81629668117) and next prime (81629668151).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975502 + ... + 1055870.

It is an arithmetic number, because the mean of its divisors is an integer number (3240518400).

Almost surely, 2^81629668134 is an apocalyptic number.

81629668134 is an abundant number, since it is smaller than the sum of its proper divisors (125763509466).

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

81629668134 is a wasteful number, since it uses less digits than its factorization.

81629668134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83074 (or 83068 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 81629668134 in words is "eighty-one billion, six hundred twenty-nine million, six hundred sixty-eight thousand, one hundred thirty-four".