361426157568 has 640 divisors, whose sum is σ = 1262413812000. Its totient is φ = 103004504064.

The previous prime is 361426157567. The next prime is 361426157581. The reversal of 361426157568 is 865751624163.

It is a happy number.

361426157568 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 2 + 6 + 1 + 575 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361426157567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 910393146 + ... + 910393542.

Almost surely, 2^361426157568 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 361426157568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631206906000).

361426157568 is an abundant number, since it is smaller than the sum of its proper divisors (900987654432).

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

361426157568 is an frugal number, since it uses more digits than its factorization.

361426157568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 409 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 361426157568 in words is "three hundred sixty-one billion, four hundred twenty-six million, one hundred fifty-seven thousand, five hundred sixty-eight".