354498667776 has 720 divisors, whose sum is σ = 1200871257600. Its totient is φ = 103038566400.

The previous prime is 354498667769. The next prime is 354498667813. The reversal of 354498667776 is 677766894453.

354498667776 is a `hidden beast` number, since 3 + 5 + 4 + 498 + 6 + 67 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1280240640) is a multiple of the sum of its prime divisors (160).

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 79 ways as a sum of consecutive naturals, for example, 3137156296 + ... + 3137156408.

Almost surely, 2^354498667776 is an apocalyptic number.

354498667776 is a gapful number since it is divisible by the number (36) 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 354498667776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600435628800).

354498667776 is an abundant number, since it is smaller than the sum of its proper divisors (846372589824).

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

354498667776 is an equidigital number, since it uses as much as digits as its factorization.

354498667776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 160 counting only the distinct ones).

The product of its digits is 1280240640, while the sum is 72.

The spelling of 354498667776 in words is "three hundred fifty-four billion, four hundred ninety-eight million, six hundred sixty-seven thousand, seven hundred seventy-six".