354089136960 has 448 divisors, whose sum is σ = 1391636332800. Its totient is φ = 84154097664.

The previous prime is 354089136959. The next prime is 354089136967. The reversal of 354089136960 is 69631980453.

354089136960 is a `hidden beast` number, since 3 + 540 + 8 + 9 + 1 + 3 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 354089136897 and 354089136906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354089136967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3202927 + ... + 3311633.

It is an arithmetic number, because the mean of its divisors is an integer number (3106331100).

Almost surely, 2^354089136960 is an apocalyptic number.

354089136960 is a gapful number since it is divisible by the number (30) 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 354089136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695818166400).

354089136960 is an abundant number, since it is smaller than the sum of its proper divisors (1037547195840).

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

354089136960 is a wasteful number, since it uses less digits than its factorization.

354089136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108775 (or 108759 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 354089136960 in words is "three hundred fifty-four billion, eighty-nine million, one hundred thirty-six thousand, nine hundred sixty".