86912346480 has 320 divisors, whose sum is σ = 285818277888. Its totient is φ = 21812797440.

The previous prime is 86912346457. The next prime is 86912346487. The reversal of 86912346480 is 8464321968.

It is a Cunningham number, because it is equal to 294809²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86912346487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101414212 + ... + 101415068.

Almost surely, 2^86912346480 is an apocalyptic number.

86912346480 is a gapful number since it is divisible by the number (80) 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 86912346480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142909138944).

86912346480 is an abundant number, since it is smaller than the sum of its proper divisors (198905931408).

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

86912346480 is a wasteful number, since it uses less digits than its factorization.

86912346480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 86912346480 in words is "eighty-six billion, nine hundred twelve million, three hundred forty-six thousand, four hundred eighty".