346008146954112 has 1280 divisors, whose sum is σ = 1135218818764800. Its totient is φ = 104206064025600.

The previous prime is 346008146954101. The next prime is 346008146954167. The reversal of 346008146954112 is 211459641800643.

346008146954112 is a `hidden beast` number, since 3 + 4 + 6 + 0 + 0 + 81 + 4 + 6 + 9 + 541 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 155789349162 + ... + 155789351382.

It is an arithmetic number, because the mean of its divisors is an integer number (886889702160).

Almost surely, 2^{346008146954112} is an apocalyptic number.

346008146954112 is a gapful number since it is divisible by the number (32) 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 346008146954112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567609409382400).

346008146954112 is an abundant number, since it is smaller than the sum of its proper divisors (789210671810688).

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

346008146954112 is a wasteful number, since it uses less digits than its factorization.

346008146954112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 346008146954112 in words is "three hundred forty-six trillion, eight billion, one hundred forty-six million, nine hundred fifty-four thousand, one hundred twelve".