350542432152 has 192 divisors, whose sum is σ = 1079490447360. Its totient is φ = 101799590400.

The previous prime is 350542432099. The next prime is 350542432169. The reversal of 350542432152 is 251234245053.

350542432152 is a `hidden beast` number, since 3 + 5 + 0 + 542 + 43 + 21 + 52 = 666.

It is a super-2 number, since 2×350542432152² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2459548 + ... + 2598164.

It is an arithmetic number, because the mean of its divisors is an integer number (5622346080).

Almost surely, 2^350542432152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350542432152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539745223680).

350542432152 is an abundant number, since it is smaller than the sum of its proper divisors (728948015208).

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

350542432152 is a wasteful number, since it uses less digits than its factorization.

350542432152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138774 (or 138767 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 350542432152 in words is "three hundred fifty billion, five hundred forty-two million, four hundred thirty-two thousand, one hundred fifty-two".