313604425377144 has 256 divisors, whose sum is σ = 1014140395929600. Its totient is φ = 88737281740800.

The previous prime is 313604425377143. The next prime is 313604425377167. The reversal of 313604425377144 is 441773524406313.

313604425377144 is a `hidden beast` number, since 3 + 1 + 3 + 6 + 0 + 4 + 425 + 3 + 77 + 144 = 666.

It is a super-2 number, since 2×313604425377144² (a number of 30 digits) contains 22 as substring.

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 (313604425377143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25437237 + ... + 35696804.

It is an arithmetic number, because the mean of its divisors is an integer number (3961485921600).

Almost surely, 2^{313604425377144} is an apocalyptic number.

313604425377144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

313604425377144 is an abundant number, since it is smaller than the sum of its proper divisors (700535970552456).

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

313604425377144 is a wasteful number, since it uses less digits than its factorization.

313604425377144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61134211 (or 61134201 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 313604425377144 in words is "three hundred thirteen trillion, six hundred four billion, four hundred twenty-five million, three hundred seventy-seven thousand, one hundred forty-four".