365046408072 has 128 divisors (see below), whose sum is σ = 1026140400000. Its totient is φ = 120232339200.

The previous prime is 365046408053. The next prime is 365046408101. The reversal of 365046408072 is 270804640563.

365046408072 is a `hidden beast` number, since 3 + 6 + 504 + 64 + 0 + 80 + 7 + 2 = 666.

365046408072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 10869418 + ... + 10902950.

It is an arithmetic number, because the mean of its divisors is an integer number (8016721875).

Almost surely, 2^365046408072 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 365046408072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513070200000).

365046408072 is an abundant number, since it is smaller than the sum of its proper divisors (661093991928).

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

365046408072 is a wasteful number, since it uses less digits than its factorization.

365046408072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34148 (or 34138 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 365046408072 in words is "three hundred sixty-five billion, forty-six million, four hundred eight thousand, seventy-two".