814806483120 has 360 divisors, whose sum is σ = 3238878386016. Its totient is φ = 179818426368.

The previous prime is 814806483119. The next prime is 814806483121. The reversal of 814806483120 is 21384608418.

814806483120 is a `hidden beast` number, since 8 + 1 + 48 + 0 + 6 + 483 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (814806483119) and next prime (814806483121).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (814806483121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4142524 + ... + 4334756.

Almost surely, 2^814806483120 is an apocalyptic number.

814806483120 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 814806483120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619439193008).

814806483120 is an abundant number, since it is smaller than the sum of its proper divisors (2424071902896).

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

814806483120 is a wasteful number, since it uses less digits than its factorization.

814806483120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192317 (or 192279 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 814806483120 in words is "eight hundred fourteen billion, eight hundred six million, four hundred eighty-three thousand, one hundred twenty".