350141665536 has 432 divisors, whose sum is σ = 1111783108800. Its totient is φ = 105325608960.

The previous prime is 350141665493. The next prime is 350141665561. The reversal of 350141665536 is 635566141053.

It is a happy number.

350141665536 is a `hidden beast` number, since 3 + 50 + 1 + 4 + 1 + 6 + 65 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 350141665491 and 350141665500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299010231 + ... + 299011401.

Almost surely, 2^350141665536 is an apocalyptic number.

350141665536 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 350141665536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555891554400).

350141665536 is an abundant number, since it is smaller than the sum of its proper divisors (761641443264).

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

350141665536 is a wasteful number, since it uses less digits than its factorization.

350141665536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 350141665536 in words is "three hundred fifty billion, one hundred forty-one million, six hundred sixty-five thousand, five hundred thirty-six".