934285369287456 has 576 divisors, whose sum is σ = 2881102070246400. Its totient is φ = 286184507443200.

The previous prime is 934285369287427. The next prime is 934285369287461. The reversal of 934285369287456 is 654782963582439.

934285369287456 is a `hidden beast` number, since 9 + 3 + 4 + 2 + 8 + 536 + 9 + 2 + 8 + 74 + 5 + 6 = 666.

It is a super-2 number, since 2×934285369287456² (a number of 31 digits) contains 22 as substring.

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, 139633141071 + ... + 139633147761.

It is an arithmetic number, because the mean of its divisors is an integer number (5001913316400).

Almost surely, 2^{934285369287456} is an apocalyptic number.

934285369287456 is a gapful number since it is divisible by the number (96) 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 934285369287456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440551035123200).

934285369287456 is an abundant number, since it is smaller than the sum of its proper divisors (1946816700958944).

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

934285369287456 is a wasteful number, since it uses less digits than its factorization.

934285369287456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8773 (or 8762 counting only the distinct ones).

The product of its digits is 18811699200, while the sum is 81.

The spelling of 934285369287456 in words is "nine hundred thirty-four trillion, two hundred eighty-five billion, three hundred sixty-nine million, two hundred eighty-seven thousand, four hundred fifty-six".