690144345440352 has 240 divisors, whose sum is σ = 2216890588030272. Its totient is φ = 208881759502080.

The previous prime is 690144345440309. The next prime is 690144345440357. The reversal of 690144345440352 is 253044543441096.

690144345440352 is a `hidden beast` number, since 6 + 9 + 0 + 1 + 4 + 43 + 4 + 544 + 0 + 3 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690144345440357) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8944963 + ... + 38213885.

Almost surely, 2^{690144345440352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690144345440352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108445294015136).

690144345440352 is an abundant number, since it is smaller than the sum of its proper divisors (1526746242589920).

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

690144345440352 is a wasteful number, since it uses less digits than its factorization.

690144345440352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29269783 (or 29269766 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 690144345440352 in words is "six hundred ninety trillion, one hundred forty-four billion, three hundred forty-five million, four hundred forty thousand, three hundred fifty-two".