336404514096 has 320 divisors, whose sum is σ = 1112888770560. Its totient is φ = 95305248000.

The previous prime is 336404514071. The next prime is 336404514107. The reversal of 336404514096 is 690415404633.

336404514096 is a `hidden beast` number, since 3 + 3 + 6 + 40 + 4 + 514 + 0 + 96 = 666.

It is a super-3 number, since 3×336404514096³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379260565 + ... + 379261451.

It is an arithmetic number, because the mean of its divisors is an integer number (3477777408).

Almost surely, 2^336404514096 is an apocalyptic number.

336404514096 is a gapful number since it is divisible by the number (36) 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 336404514096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556444385280).

336404514096 is an abundant number, since it is smaller than the sum of its proper divisors (776484256464).

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

336404514096 is a wasteful number, since it uses less digits than its factorization.

336404514096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 336404514096 in words is "three hundred thirty-six billion, four hundred four million, five hundred fourteen thousand, ninety-six".