345725487400640 has 168 divisors, whose sum is σ = 860921348278320. Its totient is φ = 132216810915840.

The previous prime is 345725487400613. The next prime is 345725487400681. The reversal of 345725487400640 is 46004784527543.

It is a super-2 number, since 2×345725487400640² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345725487400640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18751646 + ... + 32296674.

It is an arithmetic number, because the mean of its divisors is an integer number (5124531834990).

Almost surely, 2^{345725487400640} 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 345725487400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430460674139160).

345725487400640 is an abundant number, since it is smaller than the sum of its proper divisors (515195860877680).

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

345725487400640 is a wasteful number, since it uses less digits than its factorization.

345725487400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13545191 (or 13545150 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 59.

The spelling of 345725487400640 in words is "three hundred forty-five trillion, seven hundred twenty-five billion, four hundred eighty-seven million, four hundred thousand, six hundred forty".