438187792961 has 12 divisors (see below), whose sum is σ = 462701908224. Its totient is φ = 414911835000.

The previous prime is 438187792921. The next prime is 438187792981. The reversal of 438187792961 is 169297781834.

It is a de Polignac number, because none of the positive numbers 2^k-438187792961 is a prime.

It is a super-2 number, since 2×438187792961² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (438187792921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393236 + ... + 1015386.

It is an arithmetic number, because the mean of its divisors is an integer number (38558492352).

Almost surely, 2^438187792961 is an apocalyptic number.

It is an amenable number.

438187792961 is a deficient number, since it is larger than the sum of its proper divisors (24514115263).

438187792961 is a wasteful number, since it uses less digits than its factorization.

438187792961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624140 (or 624121 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 65.

The spelling of 438187792961 in words is "four hundred thirty-eight billion, one hundred eighty-seven million, seven hundred ninety-two thousand, nine hundred sixty-one".