813548780688384 has 2112 divisors, whose sum is σ = 2893664709877760. Its totient is φ = 226037077770240.

The previous prime is 813548780688379. The next prime is 813548780688419. The reversal of 813548780688384 is 483886087845318.

813548780688384 is a `hidden beast` number, since 8 + 1 + 3 + 5 + 4 + 87 + 80 + 6 + 88 + 384 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127655540622 + ... + 127655546994.

Almost surely, 2^{813548780688384} 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 813548780688384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446832354938880).

813548780688384 is an abundant number, since it is smaller than the sum of its proper divisors (2080115929189376).

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

813548780688384 is a wasteful number, since it uses less digits than its factorization.

813548780688384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6538 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 7927234560, while the sum is 81.

The spelling of 813548780688384 in words is "eight hundred thirteen trillion, five hundred forty-eight billion, seven hundred eighty million, six hundred eighty-eight thousand, three hundred eighty-four".