340313556496 has 135 divisors (see below), whose sum is σ = 704298107149. Its totient is φ = 159291040384.

The previous prime is 340313556439. The next prime is 340313556529. The reversal of 340313556496 is 694655313043.

It is a happy number.

The square root of 340313556496 is 583364.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 178452174096 + 161861382400 = 422436^2 + 402320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3180500475 + ... + 3180500581.

Almost surely, 2^340313556496 is an apocalyptic number.

340313556496 is the 583364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340313556496

340313556496 is an abundant number, since it is smaller than the sum of its proper divisors (363984550653).

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

340313556496 is an equidigital number, since it uses as much as digits as its factorization.

340313556496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 49.

Multiplying 340313556496 by its sum of digits (49), we get a square (16675364268304 = 4083548²).

It can be divided in two parts, 340313 and 556496, that added together give a square (896809 = 947²).

The spelling of 340313556496 in words is "three hundred forty billion, three hundred thirteen million, five hundred fifty-six thousand, four hundred ninety-six".