854147408196096 has 600 divisors, whose sum is σ = 2982323226586704. Its totient is φ = 244042031278080.

The previous prime is 854147408196067. The next prime is 854147408196113. The reversal of 854147408196096 is 690691804741458.

854147408196096 is a `hidden beast` number, since 8 + 5 + 4 + 1 + 4 + 7 + 4 + 0 + 8 + 1 + 9 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 297293151 + ... + 300152481.

Almost surely, 2^{854147408196096} 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 854147408196096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491161613293352).

854147408196096 is an abundant number, since it is smaller than the sum of its proper divisors (2128175818390608).

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

854147408196096 is an frugal number, since it uses more digits than its factorization.

854147408196096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859392 (or 2859343 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 854147408196096 in words is "eight hundred fifty-four trillion, one hundred forty-seven billion, four hundred eight million, one hundred ninety-six thousand, ninety-six".