346825169408640 has 512 divisors, whose sum is σ = 1242479474933760. Its totient is φ = 81649163059200.

The previous prime is 346825169408609. The next prime is 346825169408713. The reversal of 346825169408640 is 46804961528643.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4564472089 + ... + 4564548071.

It is an arithmetic number, because the mean of its divisors is an integer number (2426717724480).

Almost surely, 2^{346825169408640} is an apocalyptic number.

346825169408640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346825169408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621239737466880).

346825169408640 is an abundant number, since it is smaller than the sum of its proper divisors (895654305525120).

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

346825169408640 is a wasteful number, since it uses less digits than its factorization.

346825169408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83992 (or 83980 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 66.

The spelling of 346825169408640 in words is "three hundred forty-six trillion, eight hundred twenty-five billion, one hundred sixty-nine million, four hundred eight thousand, six hundred forty".