34654674310564 has 144 divisors (see below), whose sum is σ = 78328725995520. Its totient is φ = 13262134536000.

The previous prime is 34654674310561. The next prime is 34654674310567. The reversal of 34654674310564 is 46501347645643.

It is an interprime number because it is at equal distance from previous prime (34654674310561) and next prime (34654674310567).

It is a junction number, because it is equal to n+sod(n) for n = 34654674310499 and 34654674310508.

It is not an unprimeable number, because it can be changed into a prime (34654674310561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156477469 + ... + 156698779.

It is an arithmetic number, because the mean of its divisors is an integer number (543949486080).

Almost surely, 2^{34654674310564} 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 34654674310564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39164362997760).

34654674310564 is an abundant number, since it is smaller than the sum of its proper divisors (43674051684956).

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

34654674310564 is a wasteful number, since it uses less digits than its factorization.

34654674310564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222630 (or 222621 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 58.

The spelling of 34654674310564 in words is "thirty-four trillion, six hundred fifty-four billion, six hundred seventy-four million, three hundred ten thousand, five hundred sixty-four".