336012493824 has 1056 divisors, whose sum is σ = 1242584678400. Its totient is φ = 85279703040.

The previous prime is 336012493823. The next prime is 336012493903. The reversal of 336012493824 is 428394210633.

336012493824 is a `hidden beast` number, since 3 + 3 + 601 + 2 + 4 + 9 + 38 + 2 + 4 = 666.

It is a super-2 number, since 2×336012493824² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 336012493824.

It is not an unprimeable number, because it can be changed into a prime (336012493823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1405909897 + ... + 1405910135.

Almost surely, 2^336012493824 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 336012493824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621292339200).

336012493824 is an abundant number, since it is smaller than the sum of its proper divisors (906572184576).

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

336012493824 is a wasteful number, since it uses less digits than its factorization.

336012493824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 336012493824 in words is "three hundred thirty-six billion, twelve million, four hundred ninety-three thousand, eight hundred twenty-four".