364352464352 has 48 divisors (see below), whose sum is σ = 735129162432. Its totient is φ = 177656801280.

The previous prime is 364352464327. The next prime is 364352464391. The reversal of 364352464352 is 253464253463.

It is a junction number, because it is equal to n+sod(n) for n = 364352464297 and 364352464306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3068228 + ... + 3184764.

It is an arithmetic number, because the mean of its divisors is an integer number (15315190884).

Almost surely, 2^364352464352 is an apocalyptic number.

364352464352 is a gapful number since it is divisible by the number (32) 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 364352464352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367564581216).

364352464352 is an abundant number, since it is smaller than the sum of its proper divisors (370776698080).

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

364352464352 is a wasteful number, since it uses less digits than its factorization.

364352464352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118971 (or 118963 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 47.

The spelling of 364352464352 in words is "three hundred sixty-four billion, three hundred fifty-two million, four hundred sixty-four thousand, three hundred fifty-two".