336158484480 has 1536 divisors, whose sum is σ = 1521657446400. Its totient is φ = 68478566400.

The previous prime is 336158484461. The next prime is 336158484577. The reversal of 336158484480 is 84484851633.

It is a happy number.

336158484480 is a `hidden beast` number, since 3 + 3 + 6 + 1 + 5 + 84 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×336158484480² (a number of 24 digits) contains 22 as substring.

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

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, 779949865 + ... + 779950295.

It is an arithmetic number, because the mean of its divisors is an integer number (990662400).

Almost surely, 2^336158484480 is an apocalyptic number.

336158484480 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 336158484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760828723200).

336158484480 is an abundant number, since it is smaller than the sum of its proper divisors (1185498961920).

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

336158484480 is a wasteful number, since it uses less digits than its factorization.

336158484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 336158484480 in words is "three hundred thirty-six billion, one hundred fifty-eight million, four hundred eighty-four thousand, four hundred eighty".