361847775744 has 640 divisors, whose sum is σ = 1387744512000. Its totient is φ = 90403651584.

The previous prime is 361847775727. The next prime is 361847775797. The reversal of 361847775744 is 447577748163.

It is a happy number.

361847775744 is a `hidden beast` number, since 3 + 6 + 18 + 47 + 7 + 7 + 574 + 4 = 666.

It is a super-2 number, since 2×361847775744² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 23894127 + ... + 23909265.

It is an arithmetic number, because the mean of its divisors is an integer number (2168350800).

Almost surely, 2^361847775744 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 361847775744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693872256000).

361847775744 is an abundant number, since it is smaller than the sum of its proper divisors (1025896736256).

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

361847775744 is a wasteful number, since it uses less digits than its factorization.

361847775744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15205 (or 15183 counting only the distinct ones).

The product of its digits is 110638080, while the sum is 63.

The spelling of 361847775744 in words is "three hundred sixty-one billion, eight hundred forty-seven million, seven hundred seventy-five thousand, seven hundred forty-four".