12335164380 has 240 divisors, whose sum is σ = 48244686336. Its totient is φ = 2563125120.

The previous prime is 12335164379. The next prime is 12335164409. The reversal of 12335164380 is 8346153321.

12335164380 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 5 + 1 + 643 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75297 + ... + 174183.

Almost surely, 2^12335164380 is an apocalyptic number.

12335164380 is a gapful number since it is divisible by the number (10) 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 12335164380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24122343168).

12335164380 is an abundant number, since it is smaller than the sum of its proper divisors (35909521956).

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

12335164380 is a wasteful number, since it uses less digits than its factorization.

12335164380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98926 (or 98915 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

It can be divided in two parts, 12335 and 164380, that added together give a triangular number (176715 = T₅₉₄).

The spelling of 12335164380 in words is "twelve billion, three hundred thirty-five million, one hundred sixty-four thousand, three hundred eighty".