303898450673664 has 2160 divisors, whose sum is σ = 1196513744969088. Its totient is φ = 72458698752000.

The previous prime is 303898450673663. The next prime is 303898450673711. The reversal of 303898450673664 is 466376054898303.

303898450673664 is a `hidden beast` number, since 3 + 0 + 3 + 8 + 9 + 84 + 506 + 7 + 36 + 6 + 4 = 666.

It is a super-3 number, since 3×303898450673664³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 303898450673592 and 303898450673601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303898450673663) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87051974959 + ... + 87051978449.

Almost surely, 2^{303898450673664} is an apocalyptic number.

303898450673664 is a gapful number since it is divisible by the number (34) 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 303898450673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598256872484544).

303898450673664 is an abundant number, since it is smaller than the sum of its proper divisors (892615294295424).

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

303898450673664 is a wasteful number, since it uses less digits than its factorization.

303898450673664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 72.

The spelling of 303898450673664 in words is "three hundred three trillion, eight hundred ninety-eight billion, four hundred fifty million, six hundred seventy-three thousand, six hundred sixty-four".