893434859864064 has 1440 divisors, whose sum is σ = 3039221162257280. Its totient is φ = 247669456896000.

The previous prime is 893434859864009. The next prime is 893434859864077. The reversal of 893434859864064 is 460468958434398.

893434859864064 is a `hidden beast` number, since 8 + 9 + 3 + 4 + 3 + 485 + 98 + 6 + 40 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1486580465364 + ... + 1486580465964.

Almost surely, 2^{893434859864064} is an apocalyptic number.

893434859864064 is a gapful number since it is divisible by the number (84) 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 893434859864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519610581128640).

893434859864064 is an abundant number, since it is smaller than the sum of its proper divisors (2145786302393216).

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

893434859864064 is a wasteful number, since it uses less digits than its factorization.

893434859864064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 17199267840, while the sum is 81.

The spelling of 893434859864064 in words is "eight hundred ninety-three trillion, four hundred thirty-four billion, eight hundred fifty-nine million, eight hundred sixty-four thousand, sixty-four".