361250378496 has 648 divisors, whose sum is σ = 1297373435904. Its totient is φ = 99858769920.

The previous prime is 361250378483. The next prime is 361250378543. The reversal of 361250378496 is 694873052163.

361250378496 is a `hidden beast` number, since 3 + 61 + 2 + 503 + 78 + 4 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94492041 + ... + 94495863.

It is a 1-persistent number, because it is pandigital, but 2⋅361250378496 = 722500756992 is not.

Almost surely, 2^361250378496 is an apocalyptic number.

361250378496 is a gapful number since it is divisible by the number (36) 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 361250378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648686717952).

361250378496 is an abundant number, since it is smaller than the sum of its proper divisors (936123057408).

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

361250378496 is an equidigital number, since it uses as much as digits as its factorization.

361250378496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 361250378496 in words is "three hundred sixty-one billion, two hundred fifty million, three hundred seventy-eight thousand, four hundred ninety-six".