359047463420160 has 864 divisors, whose sum is σ = 1302514135802880. Its totient is φ = 91201904640000.

The previous prime is 359047463420099. The next prime is 359047463420167. The reversal of 359047463420160 is 61024364740953.

359047463420160 is a `hidden beast` number, since 3 + 5 + 9 + 0 + 474 + 6 + 3 + 4 + 2 + 0 + 160 = 666.

It is a super-2 number, since 2×359047463420160² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 359047463420097 and 359047463420106.

It is not an unprimeable number, because it can be changed into a prime (359047463420167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34191734910 + ... + 34191745410.

Almost surely, 2^{359047463420160} is an apocalyptic number.

359047463420160 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 359047463420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651257067901440).

359047463420160 is an abundant number, since it is smaller than the sum of its proper divisors (943466672382720).

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

359047463420160 is a wasteful number, since it uses less digits than its factorization.

359047463420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12055 (or 12038 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 359047463420160 in words is "three hundred fifty-nine trillion, forty-seven billion, four hundred sixty-three million, four hundred twenty thousand, one hundred sixty".