814536746496 has 960 divisors, whose sum is σ = 2811915025920. Its totient is φ = 232986378240.

The previous prime is 814536746483. The next prime is 814536746533. The reversal of 814536746496 is 694647635418.

814536746496 is a `hidden beast` number, since 8 + 1 + 4 + 536 + 7 + 4 + 6 + 4 + 96 = 666.

It is a super-2 number, since 2×814536746496² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3556928910 + ... + 3556929138.

It is an arithmetic number, because the mean of its divisors is an integer number (2929078152).

Almost surely, 2^814536746496 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 814536746496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405957512960).

814536746496 is an abundant number, since it is smaller than the sum of its proper divisors (1997378279424).

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

814536746496 is a wasteful number, since it uses less digits than its factorization.

814536746496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 381 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 814536746496 in words is "eight hundred fourteen billion, five hundred thirty-six million, seven hundred forty-six thousand, four hundred ninety-six".