318649220144640 has 4800 divisors, whose sum is σ = 1549102138974720. Its totient is φ = 60648918220800.

The previous prime is 318649220144627. The next prime is 318649220144653. The reversal of 318649220144640 is 46441022946813.

318649220144640 is a `hidden beast` number, since 3 + 1 + 8 + 6 + 492 + 2 + 0 + 144 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (318649220144627) and next prime (318649220144653).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 291536339934 + ... + 291536341026.

Almost surely, 2^{318649220144640} is an apocalyptic number.

318649220144640 is a gapful number since it is divisible by the number (30) 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 318649220144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774551069487360).

318649220144640 is an abundant number, since it is smaller than the sum of its proper divisors (1230452918830080).

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

318649220144640 is a wasteful number, since it uses less digits than its factorization.

318649220144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 318649220144640 in words is "three hundred eighteen trillion, six hundred forty-nine billion, two hundred twenty million, one hundred forty-four thousand, six hundred forty".