351167479101648 has 360 divisors, whose sum is σ = 1096265578262400. Its totient is φ = 104842194462720.

The previous prime is 351167479101643. The next prime is 351167479101697. The reversal of 351167479101648 is 846101974761153.

351167479101648 is a `hidden beast` number, since 3 + 5 + 1 + 16 + 7 + 479 + 101 + 6 + 48 = 666.

It is a super-2 number, since 2×351167479101648² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351167479101643) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 642550488 + ... + 643096776.

It is an arithmetic number, because the mean of its divisors is an integer number (3045182161840).

Almost surely, 2^{351167479101648} 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 351167479101648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548132789131200).

351167479101648 is an abundant number, since it is smaller than the sum of its proper divisors (745098099160752).

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

351167479101648 is a wasteful number, since it uses less digits than its factorization.

351167479101648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546871 (or 546851 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 351167479101648 in words is "three hundred fifty-one trillion, one hundred sixty-seven billion, four hundred seventy-nine million, one hundred one thousand, six hundred forty-eight".