350524400022150 has 96 divisors (see below), whose sum is σ = 874809992722848. Its totient is φ = 92881591142400.

The previous prime is 350524400022149. The next prime is 350524400022151. The reversal of 350524400022150 is 51220004425053.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (350524400022149) and next prime (350524400022151).

It is a super-4 number, since 4×350524400022150⁴ (a number of 59 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350524400022151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28366014 + ... + 38803086.

It is an arithmetic number, because the mean of its divisors is an integer number (9112604090863).

Almost surely, 2^{350524400022150} is an apocalyptic number.

350524400022150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 350524400022150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437404996361424).

350524400022150 is an abundant number, since it is smaller than the sum of its proper divisors (524285592700698).

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

350524400022150 is a wasteful number, since it uses less digits than its factorization.

350524400022150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10438506 (or 10438501 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 350524400022150 in words is "three hundred fifty trillion, five hundred twenty-four billion, four hundred million, twenty-two thousand, one hundred fifty".