8314738145280 has 3072 divisors, whose sum is σ = 38584885248000. Its totient is φ = 1652658536448.

The previous prime is 8314738145279. The next prime is 8314738145303. The reversal of 8314738145280 is 825418374138.

8314738145280 is a `hidden beast` number, since 8 + 3 + 1 + 473 + 8 + 145 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29380700019 + ... + 29380700301.

It is an arithmetic number, because the mean of its divisors is an integer number (12560184000).

Almost surely, 2^{8314738145280} is an apocalyptic number.

8314738145280 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 8314738145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19292442624000).

8314738145280 is an abundant number, since it is smaller than the sum of its proper divisors (30270147102720).

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

8314738145280 is a wasteful number, since it uses less digits than its factorization.

8314738145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 8314738145280 in words is "eight trillion, three hundred fourteen billion, seven hundred thirty-eight million, one hundred forty-five thousand, two hundred eighty".