354656050560 has 1344 divisors, whose sum is σ = 1514452580640. Its totient is φ = 77755023360.

The previous prime is 354656050543. The next prime is 354656050561. The reversal of 354656050560 is 65050656453.

354656050560 is a `hidden beast` number, since 3 + 546 + 5 + 6 + 0 + 50 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354656050561) 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 167 ways as a sum of consecutive naturals, for example, 3138549064 + ... + 3138549176.

Almost surely, 2^354656050560 is an apocalyptic number.

354656050560 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 354656050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757226290320).

354656050560 is an abundant number, since it is smaller than the sum of its proper divisors (1159796530080).

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

354656050560 is an equidigital number, since it uses as much as digits as its factorization.

354656050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 354656050560 in words is "three hundred fifty-four billion, six hundred fifty-six million, fifty thousand, five hundred sixty".