209465139400704 has 832 divisors, whose sum is σ = 694001281536000. Its totient is φ = 61888280002560.

The previous prime is 209465139400661. The next prime is 209465139400723. The reversal of 209465139400704 is 407004931564902.

209465139400704 is a `hidden beast` number, since 2 + 0 + 9 + 465 + 139 + 40 + 0 + 7 + 0 + 4 = 666.

It is a super-3 number, since 3×209465139400704³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15380354407 + ... + 15380368025.

Almost surely, 2^{209465139400704} is an apocalyptic number.

209465139400704 is a gapful number since it is divisible by the number (24) 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 209465139400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347000640768000).

209465139400704 is an abundant number, since it is smaller than the sum of its proper divisors (484536142135296).

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

209465139400704 is a wasteful number, since it uses less digits than its factorization.

209465139400704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13979 (or 13951 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 209465139400704 in words is "two hundred nine trillion, four hundred sixty-five billion, one hundred thirty-nine million, four hundred thousand, seven hundred four".