336494221920 has 768 divisors, whose sum is σ = 1308876226560. Its totient is φ = 80356147200.

The previous prime is 336494221901. The next prime is 336494221979. The reversal of 336494221920 is 29122494633.

336494221920 is a `hidden beast` number, since 3 + 36 + 4 + 9 + 422 + 192 + 0 = 666.

It is a super-2 number, since 2×336494221920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138873829 + ... + 138876251.

It is an arithmetic number, because the mean of its divisors is an integer number (1704265920).

Almost surely, 2^336494221920 is an apocalyptic number.

336494221920 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 336494221920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654438113280).

336494221920 is an abundant number, since it is smaller than the sum of its proper divisors (972382004640).

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

336494221920 is a wasteful number, since it uses less digits than its factorization.

336494221920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 336494221920 in words is "three hundred thirty-six billion, four hundred ninety-four million, two hundred twenty-one thousand, nine hundred twenty".