244145264004 has 72 divisors (see below), whose sum is σ = 620184048120. Its totient is φ = 80981655552.

The previous prime is 244145263993. The next prime is 244145264029. The reversal of 244145264004 is 400462541442.

244145264004 is a `hidden beast` number, since 2 + 4 + 4 + 1 + 4 + 5 + 2 + 640 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39044969604 + 205100294400 = 197598^2 + 452880^2 .

It is a super-2 number, since 2×244145264004² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 244145264004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9322192 + ... + 9348344.

It is an arithmetic number, because the mean of its divisors is an integer number (8613667335).

Almost surely, 2^244145264004 is an apocalyptic number.

It is an amenable number.

244145264004 is an abundant number, since it is smaller than the sum of its proper divisors (376038784116).

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

244145264004 is a wasteful number, since it uses less digits than its factorization.

244145264004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27429 (or 27424 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 244145264004 in words is "two hundred forty-four billion, one hundred forty-five million, two hundred sixty-four thousand, four".