336311114496 has 288 divisors, whose sum is σ = 1040621395968. Its totient is φ = 94443048960.

The previous prime is 336311114483. The next prime is 336311114509. The reversal of 336311114496 is 694411113633.

It is an interprime number because it is at equal distance from previous prime (336311114483) and next prime (336311114509).

It is a super-2 number, since 2×336311114496² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75353161 + ... + 75357623.

It is an arithmetic number, because the mean of its divisors is an integer number (3613268736).

Almost surely, 2^336311114496 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 336311114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520310697984).

336311114496 is an abundant number, since it is smaller than the sum of its proper divisors (704310281472).

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

336311114496 is a wasteful number, since it uses less digits than its factorization.

336311114496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4713 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The spelling of 336311114496 in words is "three hundred thirty-six billion, three hundred eleven million, one hundred fourteen thousand, four hundred ninety-six".