698349543100416 has 819 divisors, whose sum is σ = 2151918962367447. Its totient is φ = 226496680427520.

The previous prime is 698349543100399. The next prime is 698349543100423. The reversal of 698349543100416 is 614001345943896.

It is a happy number.

The square root of 698349543100416 is 26426304.

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

698349543100416 is a `hidden beast` number, since 6 + 9 + 8 + 3 + 49 + 543 + 1 + 0 + 0 + 41 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 172697445273600 + 525652097826816 = 13141440^2 + 22927104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1872250785606 + ... + 1872250785978.

Almost surely, 2^{698349543100416} is an apocalyptic number.

698349543100416 is the 26426304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 698349543100416

698349543100416 is an abundant number, since it is smaller than the sum of its proper divisors (1453569419267031).

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

698349543100416 is an frugal number, since it uses more digits than its factorization.

698349543100416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 698349543100416 in words is "six hundred ninety-eight trillion, three hundred forty-nine billion, five hundred forty-three million, one hundred thousand, four hundred sixteen".