354891663360 has 1536 divisors, whose sum is σ = 1462217702400. Its totient is φ = 81983176704.

The previous prime is 354891663341. The next prime is 354891663391. The reversal of 354891663360 is 63366198453.

354891663360 is a `hidden beast` number, since 3 + 548 + 9 + 1 + 6 + 6 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a junction number, because it is equal to n+sod(n) for n = 354891663297 and 354891663306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6696069094 + ... + 6696069146.

It is an arithmetic number, because the mean of its divisors is an integer number (951964650).

Almost surely, 2^354891663360 is an apocalyptic number.

354891663360 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 354891663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731108851200).

354891663360 is an abundant number, since it is smaller than the sum of its proper divisors (1107326039040).

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

354891663360 is an equidigital number, since it uses as much as digits as its factorization.

354891663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 354891663360 in words is "three hundred fifty-four billion, eight hundred ninety-one million, six hundred sixty-three thousand, three hundred sixty".