353715223680 has 1024 divisors, whose sum is σ = 1623121920000. Its totient is φ = 70696157184.

The previous prime is 353715223651. The next prime is 353715223711. The reversal of 353715223680 is 86322517353.

353715223680 is a `hidden beast` number, since 3 + 53 + 71 + 522 + 3 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×353715223680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29871201 + ... + 29883039.

It is an arithmetic number, because the mean of its divisors is an integer number (1585080000).

Almost surely, 2^353715223680 is an apocalyptic number.

353715223680 is a gapful number since it is divisible by the number (30) 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 353715223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811560960000).

353715223680 is an abundant number, since it is smaller than the sum of its proper divisors (1269406696320).

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

353715223680 is a wasteful number, since it uses less digits than its factorization.

353715223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11906 (or 11888 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 353715223680 in words is "three hundred fifty-three billion, seven hundred fifteen million, two hundred twenty-three thousand, six hundred eighty".