85930223154048 has 768 divisors, whose sum is σ = 314802594288000. Its totient is φ = 22352367550464.

The previous prime is 85930223154023. The next prime is 85930223154077. The reversal of 85930223154048 is 84045132203958.

85930223154048 is a `hidden beast` number, since 8 + 5 + 9 + 3 + 0 + 22 + 31 + 540 + 48 = 666.

It is a super-4 number, since 4×85930223154048⁴ (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85930223153985 and 85930223154003.

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, 374869486 + ... + 375098642.

Almost surely, 2^{85930223154048} 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 85930223154048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157401297144000).

85930223154048 is an abundant number, since it is smaller than the sum of its proper divisors (228872371133952).

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

85930223154048 is a wasteful number, since it uses less digits than its factorization.

85930223154048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229284 (or 229255 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 85930223154048 in words is "eighty-five trillion, nine hundred thirty billion, two hundred twenty-three million, one hundred fifty-four thousand, forty-eight".