314213534142354 has 288 divisors, whose sum is σ = 866696673862656. Its totient is φ = 81354038351040.

The previous prime is 314213534142253. The next prime is 314213534142367. The reversal of 314213534142354 is 453241435312413.

314213534142354 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 135 + 3 + 41 + 423 + 54 = 666.

It is a super-2 number, since 2×314213534142354² (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 143 ways as a sum of consecutive naturals, for example, 3943056699 + ... + 3943136385.

It is an arithmetic number, because the mean of its divisors is an integer number (3009363450912).

Almost surely, 2^{314213534142354} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314213534142354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433348336931328).

314213534142354 is an abundant number, since it is smaller than the sum of its proper divisors (552483139720302).

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

314213534142354 is a wasteful number, since it uses less digits than its factorization.

314213534142354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81010 (or 81000 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

Adding to 314213534142354 its reverse (453241435312413), we get a palindrome (767454969454767).

The spelling of 314213534142354 in words is "three hundred fourteen trillion, two hundred thirteen billion, five hundred thirty-four million, one hundred forty-two thousand, three hundred fifty-four".