34514532606450 has 384 divisors, whose sum is σ = 95795165217024. Its totient is φ = 8169541632000.

The previous prime is 34514532606377. The next prime is 34514532606457. The reversal of 34514532606450 is 5460623541543.

It is a super-2 number, since 2×34514532606450² (a number of 28 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 34514532606450.

It is not an unprimeable number, because it can be changed into a prime (34514532606457) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1635206797 + ... + 1635227903.

It is an arithmetic number, because the mean of its divisors is an integer number (249466576086).

Almost surely, 2^{34514532606450} is an apocalyptic number.

34514532606450 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 34514532606450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47897582608512).

34514532606450 is an abundant number, since it is smaller than the sum of its proper divisors (61280632610574).

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

34514532606450 is a wasteful number, since it uses less digits than its factorization.

34514532606450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21470 (or 21465 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 34514532606450 in words is "thirty-four trillion, five hundred fourteen billion, five hundred thirty-two million, six hundred six thousand, four hundred fifty".