359548481472 has 448 divisors, whose sum is σ = 1060996608000. Its totient is φ = 107017666560.

The previous prime is 359548481443. The next prime is 359548481557. The reversal of 359548481472 is 274184845953.

It is a super-2 number, since 2×359548481472² (a number of 24 digits) contains 22 as substring.

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, 800775904 + ... + 800776352.

It is an arithmetic number, because the mean of its divisors is an integer number (2368296000).

Almost surely, 2^359548481472 is an apocalyptic number.

359548481472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359548481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530498304000).

359548481472 is an abundant number, since it is smaller than the sum of its proper divisors (701448126528).

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

359548481472 is a wasteful number, since it uses less digits than its factorization.

359548481472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 674 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 60.

The spelling of 359548481472 in words is "three hundred fifty-nine billion, five hundred forty-eight million, four hundred eighty-one thousand, four hundred seventy-two".