361001652848 has 320 divisors, whose sum is σ = 823627284480. Its totient is φ = 152144179200.

The previous prime is 361001652793. The next prime is 361001652901. The reversal of 361001652848 is 848256100163.

It is a super-2 number, since 2×361001652848² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 361001652799 and 361001652808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2161686461 + ... + 2161686627.

It is an arithmetic number, because the mean of its divisors is an integer number (2573835264).

Almost surely, 2^361001652848 is an apocalyptic number.

361001652848 is a gapful number since it is divisible by the number (38) 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 361001652848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411813642240).

361001652848 is an abundant number, since it is smaller than the sum of its proper divisors (462625631632).

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

361001652848 is a wasteful number, since it uses less digits than its factorization.

361001652848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 361001652848 in words is "three hundred sixty-one billion, one million, six hundred fifty-two thousand, eight hundred forty-eight".