364138483296 has 192 divisors, whose sum is σ = 1130880199680. Its totient is φ = 100381317120.

The previous prime is 364138483283. The next prime is 364138483301. The reversal of 364138483296 is 692384831463.

It is a super-2 number, since 2×364138483296² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31584285 + ... + 31595811.

It is an arithmetic number, because the mean of its divisors is an integer number (5890001040).

Almost surely, 2^364138483296 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 364138483296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565440099840).

364138483296 is an abundant number, since it is smaller than the sum of its proper divisors (766741716384).

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

364138483296 is a wasteful number, since it uses less digits than its factorization.

364138483296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13197 (or 13189 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 57.

The spelling of 364138483296 in words is "three hundred sixty-four billion, one hundred thirty-eight million, four hundred eighty-three thousand, two hundred ninety-six".