350877034450944 has 117 divisors (see below), whose sum is σ = 1013531418952689. Its totient is φ = 116957812654080.

The previous prime is 350877034450933. The next prime is 350877034450961. The reversal of 350877034450944 is 449054430778053.

The square root of 350877034450944 is 18731712.

It is a perfect power (a square), and thus also a powerful number.

350877034450944 is a `hidden beast` number, since 3 + 5 + 0 + 87 + 7 + 0 + 3 + 4 + 4 + 509 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17057825132544 + 333819209318400 = 4130112^2 + 18270720^2 .

It is a super-2 number, since 2×350877034450944² (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 8 ways as a sum of consecutive naturals, for example, 3596439924 + ... + 3596537484.

Almost surely, 2^{350877034450944} is an apocalyptic number.

350877034450944 is the 18731712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350877034450944

350877034450944 is an abundant number, since it is smaller than the sum of its proper divisors (662654384501745).

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

350877034450944 is an frugal number, since it uses more digits than its factorization.

350877034450944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195152 (or 97566 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 350877034450944 in words is "three hundred fifty trillion, eight hundred seventy-seven billion, thirty-four million, four hundred fifty thousand, nine hundred forty-four".