354396436416 has 84 divisors (see below), whose sum is σ = 1108160088984. Its totient is φ = 107392857600.

The previous prime is 354396436411. The next prime is 354396436423. The reversal of 354396436416 is 614634693453.

354396436416 is a `hidden beast` number, since 3 + 543 + 9 + 64 + 36 + 4 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354396436411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27960555 + ... + 27973226.

Almost surely, 2^354396436416 is an apocalyptic number.

354396436416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

354396436416 is an abundant number, since it is smaller than the sum of its proper divisors (753763652568).

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

354396436416 is a wasteful number, since it uses less digits than its factorization.

354396436416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55933810 (or 55933797 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 54.

The spelling of 354396436416 in words is "three hundred fifty-four billion, three hundred ninety-six million, four hundred thirty-six thousand, four hundred sixteen".