361123434549504 has 2187 divisors, whose sum is σ = 1257221025245367. Its totient is φ = 103438479513600.

The previous prime is 361123434549481. The next prime is 361123434549539. The reversal of 361123434549504 is 405945434321163.

The square root of 361123434549504 is 19003248.

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

361123434549504 is a `hidden beast` number, since 3 + 6 + 1 + 1 + 2 + 3 + 43 + 4 + 549 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2187).

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 8398219408107 + ... + 8398219408149.

Almost surely, 2^{361123434549504} is an apocalyptic number.

361123434549504 is the 19003248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361123434549504

361123434549504 is an abundant number, since it is smaller than the sum of its proper divisors (896097590695863).

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

361123434549504 is an frugal number, since it uses more digits than its factorization.

361123434549504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 361123434549504 in words is "three hundred sixty-one trillion, one hundred twenty-three billion, four hundred thirty-four million, five hundred forty-nine thousand, five hundred four".