350518096656 has 960 divisors, whose sum is σ = 1378171791360. Its totient is φ = 84164935680.

The previous prime is 350518096633. The next prime is 350518096657. The reversal of 350518096656 is 656690815053.

It is a happy number.

350518096656 is a `hidden beast` number, since 3 + 505 + 1 + 80 + 9 + 6 + 6 + 56 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (350518096657) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145020760 + ... + 145023176.

It is an arithmetic number, because the mean of its divisors is an integer number (1435595616).

Almost surely, 2^350518096656 is an apocalyptic number.

350518096656 is a gapful number since it is divisible by the number (36) 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 350518096656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689085895680).

350518096656 is an abundant number, since it is smaller than the sum of its proper divisors (1027653694704).

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

350518096656 is a wasteful number, since it uses less digits than its factorization.

350518096656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 350518096656 in words is "three hundred fifty billion, five hundred eighteen million, ninety-six thousand, six hundred fifty-six".