361423139921424 has 315 divisors, whose sum is σ = 1221367461093567. Its totient is φ = 103259647858752.

The previous prime is 361423139921411. The next prime is 361423139921443. The reversal of 361423139921424 is 424129931324163.

The square root of 361423139921424 is 19011132.

It is a perfect power (a square), and thus also a powerful number.

361423139921424 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 2 + 31 + 399 + 214 + 2 + 4 = 666.

It is a super-2 number, since 2×361423139921424² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 14372403219 + ... + 14372428365.

Almost surely, 2^{361423139921424} is an apocalyptic number.

361423139921424 is the 19011132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361423139921424

361423139921424 is an abundant number, since it is smaller than the sum of its proper divisors (859944321172143).

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

361423139921424 is an frugal number, since it uses more digits than its factorization.

361423139921424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50334 (or 25159 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 361423139921424 in words is "three hundred sixty-one trillion, four hundred twenty-three billion, one hundred thirty-nine million, nine hundred twenty-one thousand, four hundred twenty-four".