86677743454848 has 1152 divisors, whose sum is σ = 319449365464320. Its totient is φ = 22811711422464.

The previous prime is 86677743454789. The next prime is 86677743454921. The reversal of 86677743454848 is 84845434777668.

86677743454848 is a `hidden beast` number, since 8 + 6 + 67 + 7 + 7 + 4 + 3 + 4 + 548 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49445374740 + ... + 49445376492.

It is an arithmetic number, because the mean of its divisors is an integer number (277299796410).

Almost surely, 2^{86677743454848} 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 86677743454848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159724682732160).

86677743454848 is an abundant number, since it is smaller than the sum of its proper divisors (232771622009472).

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

86677743454848 is an equidigital number, since it uses as much as digits as its factorization.

86677743454848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2425 counting only the distinct ones).

The product of its digits is 24277155840, while the sum is 81.

The spelling of 86677743454848 in words is "eighty-six trillion, six hundred seventy-seven billion, seven hundred forty-three million, four hundred fifty-four thousand, eight hundred forty-eight".