361764561312 has 480 divisors, whose sum is σ = 1362348408960. Its totient is φ = 91423365120.

The previous prime is 361764561299. The next prime is 361764561317. The reversal of 361764561312 is 213165467163.

361764561312 is a `hidden beast` number, since 3 + 6 + 1 + 76 + 4 + 561 + 3 + 12 = 666.

It is a super-2 number, since 2×361764561312² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (361764561317) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7360114 + ... + 7409102.

It is an arithmetic number, because the mean of its divisors is an integer number (2838225852).

Almost surely, 2^361764561312 is an apocalyptic number.

361764561312 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 361764561312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681174204480).

361764561312 is an abundant number, since it is smaller than the sum of its proper divisors (1000583847648).

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

361764561312 is a wasteful number, since it uses less digits than its factorization.

361764561312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49066 (or 49049 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 361764561312 in words is "three hundred sixty-one billion, seven hundred sixty-four million, five hundred sixty-one thousand, three hundred twelve".