345544001450140 has 192 divisors, whose sum is σ = 777015964827648. Its totient is φ = 128844108518400.

The previous prime is 345544001450117. The next prime is 345544001450183. The reversal of 345544001450140 is 41054100445543.

It is a super-3 number, since 3×345544001450140³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345544001450093 and 345544001450102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 925740627 + ... + 926113813.

It is an arithmetic number, because the mean of its divisors is an integer number (4046958150144).

Almost surely, 2^{345544001450140} 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 345544001450140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388507982413824).

345544001450140 is an abundant number, since it is smaller than the sum of its proper divisors (431471963377508).

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

345544001450140 is a wasteful number, since it uses less digits than its factorization.

345544001450140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373668 (or 373666 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 345544001450140 its reverse (41054100445543), we get a palindrome (386598101895683).

The spelling of 345544001450140 in words is "three hundred forty-five trillion, five hundred forty-four billion, one million, four hundred fifty thousand, one hundred forty".