346814990144 has 112 divisors (see below), whose sum is σ = 808154083968. Its totient is φ = 144551651328.

The previous prime is 346814990117. The next prime is 346814990147. The reversal of 346814990144 is 441099418643.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346814990147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55907747 + ... + 55913949.

It is an arithmetic number, because the mean of its divisors is an integer number (7215661464).

Almost surely, 2^346814990144 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 346814990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404077041984).

346814990144 is an abundant number, since it is smaller than the sum of its proper divisors (461339093824).

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

346814990144 is a wasteful number, since it uses less digits than its factorization.

346814990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9632 (or 9622 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 53.

The spelling of 346814990144 in words is "three hundred forty-six billion, eight hundred fourteen million, nine hundred ninety thousand, one hundred forty-four".