34314412320144 has 720 divisors, whose sum is σ = 110028370233600. Its totient is φ = 9968214896640.

The previous prime is 34314412320101. The next prime is 34314412320169. The reversal of 34314412320144 is 44102321441343.

34314412320144 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 441 + 2 + 3 + 201 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34314412320099 and 34314412320108.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15123142242 + ... + 15123144510.

It is an arithmetic number, because the mean of its divisors is an integer number (152817180880).

Almost surely, 2^{34314412320144} 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 34314412320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55014185116800).

34314412320144 is an abundant number, since it is smaller than the sum of its proper divisors (75713957913456).

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

34314412320144 is a wasteful number, since it uses less digits than its factorization.

34314412320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 34314412320144 its reverse (44102321441343), we get a palindrome (78416733761487).

The spelling of 34314412320144 in words is "thirty-four trillion, three hundred fourteen billion, four hundred twelve million, three hundred twenty thousand, one hundred forty-four".