361310436144 has 480 divisors, whose sum is σ = 1196329680000. Its totient is φ = 99678781440.

The previous prime is 361310436127. The next prime is 361310436161. The reversal of 361310436144 is 441634013163.

361310436144 is a `hidden beast` number, since 3 + 6 + 1 + 31 + 0 + 4 + 3 + 614 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (361310436127) and next prime (361310436161).

It is a super-3 number, since 3×361310436144³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 361310436099 and 361310436108.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1035273282 + ... + 1035273630.

It is an arithmetic number, because the mean of its divisors is an integer number (2492353500).

Almost surely, 2^361310436144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361310436144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598164840000).

361310436144 is an abundant number, since it is smaller than the sum of its proper divisors (835019243856).

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

361310436144 is a wasteful number, since it uses less digits than its factorization.

361310436144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 361310436144 in words is "three hundred sixty-one billion, three hundred ten million, four hundred thirty-six thousand, one hundred forty-four".