353145982464 has 720 divisors, whose sum is σ = 1217745809280. Its totient is φ = 101180067840.

The previous prime is 353145982463. The next prime is 353145982489. The reversal of 353145982464 is 464289541353.

It is a happy number.

353145982464 is a `hidden beast` number, since 3 + 5 + 3 + 1 + 4 + 598 + 2 + 46 + 4 = 666.

It is a super-2 number, since 2×353145982464² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 353145982464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353145982463) 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, 702079237 + ... + 702079739.

It is an arithmetic number, because the mean of its divisors is an integer number (1691313624).

Almost surely, 2^353145982464 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 353145982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608872904640).

353145982464 is an abundant number, since it is smaller than the sum of its proper divisors (864599826816).

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

353145982464 is an frugal number, since it uses more digits than its factorization.

353145982464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 538 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 353145982464 in words is "three hundred fifty-three billion, one hundred forty-five million, nine hundred eighty-two thousand, four hundred sixty-four".