350201540014392 has 192 divisors, whose sum is σ = 998788887492480. Its totient is φ = 101461062624000.

The previous prime is 350201540014369. The next prime is 350201540014393. The reversal of 350201540014392 is 293410045102053.

It is a super-2 number, since 2×350201540014392² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 350201540014392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350201540014393) 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, 12742042 + ... + 29372822.

It is an arithmetic number, because the mean of its divisors is an integer number (5202025455690).

Almost surely, 2^{350201540014392} 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 350201540014392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499394443746240).

350201540014392 is an abundant number, since it is smaller than the sum of its proper divisors (648587347478088).

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

350201540014392 is a wasteful number, since it uses less digits than its factorization.

350201540014392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16630946 (or 16630911 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 350201540014392 in words is "three hundred fifty trillion, two hundred one billion, five hundred forty million, fourteen thousand, three hundred ninety-two".