361431575712 has 96 divisors (see below), whose sum is σ = 1055816516160. Its totient is φ = 120289639680.

The previous prime is 361431575699. The next prime is 361431575773. The reversal of 361431575712 is 217575134163.

361431575712 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 3 + 1 + 575 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230262 + ... + 880842.

It is an arithmetic number, because the mean of its divisors is an integer number (10998088710).

Almost surely, 2^361431575712 is an apocalyptic number.

361431575712 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 361431575712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527908258080).

361431575712 is an abundant number, since it is smaller than the sum of its proper divisors (694384940448).

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

361431575712 is a wasteful number, since it uses less digits than its factorization.

361431575712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651243 (or 651229 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The spelling of 361431575712 in words is "three hundred sixty-one billion, four hundred thirty-one million, five hundred seventy-five thousand, seven hundred twelve".