355842474624 has 2048 divisors, whose sum is σ = 1500291072000. Its totient is φ = 80263249920.

The previous prime is 355842474613. The next prime is 355842474629. The reversal of 355842474624 is 426474248553.

It is a happy number.

355842474624 is a `hidden beast` number, since 3 + 5 + 5 + 8 + 4 + 2 + 4 + 7 + 4 + 624 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (355842474629) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 3149048392 + ... + 3149048504.

It is an arithmetic number, because the mean of its divisors is an integer number (732564000).

Almost surely, 2^355842474624 is an apocalyptic number.

355842474624 is a gapful number since it is divisible by the number (34) 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 355842474624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750145536000).

355842474624 is an abundant number, since it is smaller than the sum of its proper divisors (1144448597376).

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

355842474624 is a wasteful number, since it uses less digits than its factorization.

355842474624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 54.

The spelling of 355842474624 in words is "three hundred fifty-five billion, eight hundred forty-two million, four hundred seventy-four thousand, six hundred twenty-four".