350154066936960 has 2304 divisors, whose sum is σ = 1482785198294400. Its totient is φ = 75387257487360.

The previous prime is 350154066936917. The next prime is 350154066936977. The reversal of 350154066936960 is 69639660451053.

It is a happy number.

350154066936960 is a `hidden beast` number, since 3 + 5 + 0 + 154 + 0 + 6 + 69 + 369 + 60 = 666.

It is a super-2 number, since 2×350154066936960² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95331897684 + ... + 95331901356.

Almost surely, 2^{350154066936960} is an apocalyptic number.

350154066936960 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 350154066936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741392599147200).

350154066936960 is an abundant number, since it is smaller than the sum of its proper divisors (1132631131357440).

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

350154066936960 is a wasteful number, since it uses less digits than its factorization.

350154066936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 63.

The spelling of 350154066936960 in words is "three hundred fifty trillion, one hundred fifty-four billion, sixty-six million, nine hundred thirty-six thousand, nine hundred sixty".