361462456922112 has 2496 divisors, whose sum is σ = 1353094780477440. Its totient is φ = 90968201625600.

The previous prime is 361462456922069. The next prime is 361462456922131. The reversal of 361462456922112 is 211229654264163.

361462456922112 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 62 + 4 + 569 + 2 + 2 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2302308642738 + ... + 2302308642894.

It is an arithmetic number, because the mean of its divisors is an integer number (542105280640).

Almost surely, 2^{361462456922112} is an apocalyptic number.

361462456922112 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 361462456922112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676547390238720).

361462456922112 is an abundant number, since it is smaller than the sum of its proper divisors (991632323555328).

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

361462456922112 is a wasteful number, since it uses less digits than its factorization.

361462456922112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 344 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 361462456922112 in words is "three hundred sixty-one trillion, four hundred sixty-two billion, four hundred fifty-six million, nine hundred twenty-two thousand, one hundred twelve".