349144150118400 has 1560 divisors, whose sum is σ = 1591773805692224. Its totient is φ = 73665419673600.

The previous prime is 349144150118399. The next prime is 349144150118417. The reversal of 349144150118400 is 4811051441943.

349144150118400 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 441 + 50 + 118 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 754559115 + ... + 755021685.

Almost surely, 2^{349144150118400} is an apocalyptic number.

349144150118400 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 349144150118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795886902846112).

349144150118400 is an abundant number, since it is smaller than the sum of its proper divisors (1242629655573824).

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

349144150118400 is a wasteful number, since it uses less digits than its factorization.

349144150118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462637 (or 462601 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 349144150118400 in words is "three hundred forty-nine trillion, one hundred forty-four billion, one hundred fifty million, one hundred eighteen thousand, four hundred".