4346292990312 has 448 divisors, whose sum is σ = 15829490544000. Its totient is φ = 1085942287872.

The previous prime is 4346292990289. The next prime is 4346292990371. The reversal of 4346292990312 is 2130992926434.

4346292990312 is a `hidden beast` number, since 4 + 3 + 4 + 629 + 2 + 9 + 9 + 0 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9868014 + ... + 10299042.

It is an arithmetic number, because the mean of its divisors is an integer number (35333684250).

Almost surely, 2^{4346292990312} is an apocalyptic number.

4346292990312 is a gapful number since it is divisible by the number (42) 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 4346292990312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7914745272000).

4346292990312 is an abundant number, since it is smaller than the sum of its proper divisors (11483197553688).

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

4346292990312 is a wasteful number, since it uses less digits than its factorization.

4346292990312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431092 (or 431073 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 4346292990312 in words is "four trillion, three hundred forty-six billion, two hundred ninety-two million, nine hundred ninety thousand, three hundred twelve".