361981519667712 has 640 divisors, whose sum is σ = 1247271140966400. Its totient is φ = 101510715801600.

The previous prime is 361981519667693. The next prime is 361981519667753. The reversal of 361981519667712 is 217766915189163.

361981519667712 is a `hidden beast` number, since 3 + 6 + 1 + 98 + 1 + 519 + 6 + 6 + 7 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3659619537 + ... + 3659718447.

It is an arithmetic number, because the mean of its divisors is an integer number (1948861157760).

Almost surely, 2^{361981519667712} is an apocalyptic number.

361981519667712 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 361981519667712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623635570483200).

361981519667712 is an abundant number, since it is smaller than the sum of its proper divisors (885289621298688).

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

361981519667712 is an equidigital number, since it uses as much as digits as its factorization.

361981519667712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99645 (or 99623 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 72.

The spelling of 361981519667712 in words is "three hundred sixty-one trillion, nine hundred eighty-one billion, five hundred nineteen million, six hundred sixty-seven thousand, seven hundred twelve".