354377327616 has 693 divisors, whose sum is σ = 1172223550659. Its totient is φ = 106981834752.

The previous prime is 354377327593. The next prime is 354377327617. The reversal of 354377327616 is 616723773453.

The square root of 354377327616 is 595296.

It is a perfect power (a square), and thus also a powerful number.

354377327616 is a `hidden beast` number, since 3 + 543 + 7 + 7 + 32 + 7 + 61 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9197577216 + 345179750400 = 95904^2 + 587520^2 .

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 (354377327617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6686364646 + ... + 6686364698.

Almost surely, 2^354377327616 is an apocalyptic number.

354377327616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

354377327616 is the 595296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354377327616

354377327616 is an abundant number, since it is smaller than the sum of its proper divisors (817846223043).

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

354377327616 is an frugal number, since it uses more digits than its factorization.

354377327616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 71 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 54.

The spelling of 354377327616 in words is "three hundred fifty-four billion, three hundred seventy-seven million, three hundred twenty-seven thousand, six hundred sixteen".