81629851615488 has 432 divisors, whose sum is σ = 263784474687552. Its totient is φ = 24059566080000.

The previous prime is 81629851615447. The next prime is 81629851615489. The reversal of 81629851615488 is 88451615892618.

81629851615488 is a `hidden beast` number, since 8 + 1 + 6 + 2 + 9 + 85 + 1 + 61 + 5 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (81629851615489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3095426943 + ... + 3095453313.

Almost surely, 2^{81629851615488} is an apocalyptic number.

81629851615488 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81629851615488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131892237343776).

81629851615488 is an abundant number, since it is smaller than the sum of its proper divisors (182154623072064).

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

81629851615488 is a wasteful number, since it uses less digits than its factorization.

81629851615488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29742 (or 29725 counting only the distinct ones).

The product of its digits is 265420800, while the sum is 72.

The spelling of 81629851615488 in words is "eighty-one trillion, six hundred twenty-nine billion, eight hundred fifty-one million, six hundred fifteen thousand, four hundred eighty-eight".