87614217861696 has 336 divisors, whose sum is σ = 258229474863360. Its totient is φ = 28385948344320.

The previous prime is 87614217861683. The next prime is 87614217861763. The reversal of 87614217861696 is 69616871241678.

87614217861696 is a `hidden beast` number, since 8 + 7 + 61 + 421 + 7 + 86 + 1 + 69 + 6 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16749035401 + ... + 16749040631.

It is an arithmetic number, because the mean of its divisors is an integer number (768540103760).

Almost surely, 2^{87614217861696} is an apocalyptic number.

87614217861696 is a gapful number since it is divisible by the number (86) 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 87614217861696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129114737431680).

87614217861696 is an abundant number, since it is smaller than the sum of its proper divisors (170615257001664).

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

87614217861696 is a wasteful number, since it uses less digits than its factorization.

87614217861696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8474 (or 8461 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 87614217861696 in words is "eighty-seven trillion, six hundred fourteen billion, two hundred seventeen million, eight hundred sixty-one thousand, six hundred ninety-six".