355149204480 has 1408 divisors, whose sum is σ = 1531473039360. Its totient is φ = 77253378048.

The previous prime is 355149204469. The next prime is 355149204563. The reversal of 355149204480 is 84402941553.

355149204480 is a `hidden beast` number, since 3 + 5 + 5 + 149 + 20 + 4 + 480 = 666.

It is a super-2 number, since 2×355149204480² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1802787742 + ... + 1802787938.

It is an arithmetic number, because the mean of its divisors is an integer number (1087693920).

Almost surely, 2^355149204480 is an apocalyptic number.

355149204480 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 355149204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765736519680).

355149204480 is an abundant number, since it is smaller than the sum of its proper divisors (1176323834880).

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

355149204480 is an equidigital number, since it uses as much as digits as its factorization.

355149204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 355149204480 in words is "three hundred fifty-five billion, one hundred forty-nine million, two hundred four thousand, four hundred eighty".